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Yeah Math Is Boring
Приєднався 12 жов 2023
Our life is already hard, don't make it harder.
Are math problems keeping you up at night? Do you find equations and formulas confusing? Yeah, I know math is kinda boring and could be challenging at the same time. You're not alone, and I understand the struggle. Here, we dive into the world of math with empathy and clarity. Join me as I break down complex concepts, solve problems step by step, and make math more approachable. Whether you're a student, a lifelong learner, or just someone looking to conquer their math fears, this channel is for you. Let's make math a friend, not a foe, together!
#math #maths #mathematics #mathematical #mathematician #calculus #solvingequations #inequality #inequalities #equations #fractions #differentiation #integration #differential #integral #mathisfun #mathisawesome
Are math problems keeping you up at night? Do you find equations and formulas confusing? Yeah, I know math is kinda boring and could be challenging at the same time. You're not alone, and I understand the struggle. Here, we dive into the world of math with empathy and clarity. Join me as I break down complex concepts, solve problems step by step, and make math more approachable. Whether you're a student, a lifelong learner, or just someone looking to conquer their math fears, this channel is for you. Let's make math a friend, not a foe, together!
#math #maths #mathematics #mathematical #mathematician #calculus #solvingequations #inequality #inequalities #equations #fractions #differentiation #integration #differential #integral #mathisfun #mathisawesome
How to Differentiate e^2x?
What is the derivative of e^2x? As e^2x is a composite function, we will be using the chain rule to find its derivative. For taking the derivative of an exponential function using the chain rule, we just have to copy back the exact same thing as our original function, then multiply it by the derivative of its exponent. In this case, we get 2e^2x as our final answer.
TIMECODES:
0:00 Intro
0:19 Applying the Chain Rule
1:07 Formula of Chain Rule
2:10 Overview
2:27 Outro
TIMECODES:
0:00 Intro
0:19 Applying the Chain Rule
1:07 Formula of Chain Rule
2:10 Overview
2:27 Outro
Переглядів: 556
Відео
How to integrate tan x? [2 Methods]
Переглядів 3,2 тис.2 місяці тому
We will be discovering the 2 methods of integrating tan x in this video. The first method is by substitution, whereas the second method is by formula. We will get ln |sec x| C as our final answer. TIMECODES: 0:00 Intro 0:11 First Method - By Substitution 2:23 Second Method - By Formula 4:35 Outro
How to Differentiate sin^2 (x) ?
Переглядів 2,1 тис.3 місяці тому
What is the derivative of sin^2 (x)? We know that the derivative of sin x is equal to cos x. To solve the derivative of sin^2 x, we must know that it is actually a composite function, and we apply the chain rule in order to find the derivative of a composite function. We first differentiate the whole term without changing the inner function, and then multiply it by the derivative of the inner f...
How to find the derivative of logarithmic functions?
Переглядів 1 тис.3 місяці тому
Why is the general formula for the derivative of log x equal to 1/(x ln 10)? In this video, we will be discovering the derivative of logarithmic functions. First, by eliminating the common logarithm, we change the base of the logarithm to base e, which is natural logarithm. This is done to simplify the differentiation process. Then, the derivative can be found easily by using quotient rule, imp...
How to Differentiate x^x ? [2 Different Methods]
Переглядів 10 тис.3 місяці тому
There are 2 different ways to take the derivative of x^x, which are implicit differentiation, and the chain rule. In this video, we will be solving for the derivative of y=x^x by using these two methods. For the implicit differentiation, we first take the natural log on both sides of the equation, and we are able to apply implicit differentiation to solve for the derivative. For the chain rule,...
How to Differentiate ln(ln(ln(ln x))) ?
Переглядів 1 тис.5 місяців тому
This is a function that consists of the composition of functions within a composite function, so the chain rule is applied here to find the derivative. We apply the Chain Rule for three times in this case. CHAIN RULE EXPLANATION: ua-cam.com/video/js8jOoWyZ2M/v-deo.html TIMECODES: 0:00 Into 0:10 Composite Function within Composite Function 0:28 Applying Chain Rule 0:59 Chain Rule 2nd time 1:26 C...
How to Integrate ln(x)?
Переглядів 11 тис.5 місяців тому
What is the integral of ln x? We apply integration by parts to solve this because it is a product of functions, where ln x multiply by 1 dx. We first select ln x as 'u', and 1 dx as 'dv'. Then, we take the derivative of 'u' in terms of dx, and take the integral of 'dv'. Finally, plug them into the formula of integration by parts and we got ' x ln(x) - x C ' as our final answer. INTEGRATION BY P...
How to Differentiate e^e^x ?
Переглядів 1,4 тис.5 місяців тому
What is the derivative of e^e^x? This is a composite function, so we apply the chain rule to take the derivative of e^e^x. By applying the chain rule, we first differentiate the whole function without changing the inner function. Then, multiply it by the derivative of the inner function. In other words, when we are trying to take the derivative of an exponential function using the chain rule, w...
How to Differentiate ln(ln(ln x)) ?
Переглядів 2,2 тис.5 місяців тому
What is the derivative of ln(ln(ln x))? This is a composite function that involves multiple functions within it. It contains a composite function inside a composite function. Therefore, solve this using Chain Rule Differentiation for a total of two times. First, differentiate the whole function. Then, multiply it by the derivative of the inner function. And repeat it for one more time. CHAIN RU...
How to Differentiate e^x?
Переглядів 1,8 тис.6 місяців тому
We knew that the derivative of e^x is still e^x. But why is it? In this video, we will be discovering how the application of Implicit Differentiation would lead us to get the answer for finding the derivative of e^x. First, bring the x down by using logarithm rule. Then, solve for dy/dx. Lastly, substitute the original function, e^x, into the equation. IMPLICIT DIFFERENTIATION EXPLANATION: ua-c...
How to Differentiate ln(ln x)?
Переглядів 3,5 тис.6 місяців тому
What is the derivative of ln(ln x)? This is a composite function. Supposed that we have ln x, but for now we have ln(ln x) instead. Therefore, solve this using Chain Rule Differentiation. First, differentiate the whole function. Then, multiply it by the derivative of the inner function. Chain Rule of Logarithmic Derivative: d/dx (ln f(x)) = (1 / f(x) ) * f'(x) CHAIN RULE EXPLANATION VIDEO: ua-c...
How to Differentiate ln x?
Переглядів 12 тис.6 місяців тому
Why the derivative of ln x is 1/x? In this video, we will be discovering how to differentiate ln x, and why the answer is 1/x. When we rewrite the equation from logarithmic form into exponential form, and we try to take the derivative using implicit differentiation, we will be getting 1/x as the derivative. #differentiation #calculus #logarithm IMPLICIT DIFFERENTIATION EXPLANATION: ua-cam.com/v...
How to Differentiate Number Raised to Power of x?
Переглядів 4 тис.6 місяців тому
How to differentiate something raised to the power of x? We can first apply the logarithmic rule to take the x down from the exponent. Then, we apply implicit differentiation by taking the derivative on every term with respect to x, and solve for dy/dx. Substitute the original function into 'y' and we got the final answer. Implicit Differentiation Explanation: ua-cam.com/video/-DkHYXOKwbk/v-deo...
Learn Implicit Differentiation Under 3.9667 Minutes!
Переглядів 9856 місяців тому
Implicit differentiation is used to find the derivatives when we cannot write a function ‘y’ in terms of ‘x’ directly. Normally, we’re dealing with functions that can be separated in terms of x easily. In implicit differentiation, we differentiate it with respect to x, on every single term in the equation. After all, we rearrange the equation to solve for (dy/dx). Chain Rule Explanation Video: ...
Learn Chain Rule Differentiation Under 3.6167 Minutes!
Переглядів 5126 місяців тому
Learn Chain Rule Differentiation Under 3.6167 Minutes!
Integration By Parts Full Explanation in 4 minutes
Переглядів 2,9 тис.6 місяців тому
Integration By Parts Full Explanation in 4 minutes
Quotient Rule Differentiation Explained in 1 Minute
Переглядів 2626 місяців тому
Quotient Rule Differentiation Explained in 1 Minute
Product Rule Differentiation Explained in 1 Minute
Переглядів 3606 місяців тому
Product Rule Differentiation Explained in 1 Minute
Quickest Way for Limit at Infinity WITHOUT Dividing Every Terms
Переглядів 1886 місяців тому
Quickest Way for Limit at Infinity WITHOUT Dividing Every Terms
Can this be done by implicit differentiation?
Tq sir ❤...
Subscribed to your channel and like 👍 your explanation to sir.. tq sir ❤ love you Teacher.
Sir tangent slope finding question please
Love you sir ❤ thanks a lot...
Thanks for the video 😊
Tabular method?
I memories that sin^2 equals to 1/2(1-cox2x) and just do it from there
Very useful tutorial.Thank you
thanks bro
Chain rule
Easy, it's x.x^(x-1), done.
Isn't it ILATE instead of LIATE
I never use this method. I use the D-I method. Much, much easier. And much easier to learn.
What is D-I method?
@@Muha_med-n ua-cam.com/video/2I-_SV8cwsw/v-deo.html
@@Muha_med-n watch red pen black pen, it's basically tabular integration, it is way easier, faster and whatnot... once you use it once, you can't not use it afterwards
We can use the limit definition to...
J=-ln(cosx)+k
To simplify one can for final answer: 1/xln(lnx^2)
Sir! Please, explain once and for all the difference between logx and lnx. I get so many confused pieces of information and even on YT you see mathematicians saying that logx is 1/x. Also, I hear the word e for exponential in some videos where I try to explain that e is a number which can be used as a base for a logarithm but by itself it is not any exponential (or is it?) and it's called Euler's number. Thank you.
logx is in base 10, ln x is in base e. log x=y means 10^y=x. ln x= y means e^y=x.
@@nuggetlover9431 Correct. So, why so many mathematicians comnfuse the two?
Great
Very nice, I've learned something new! Thank You!
The easiest way is to just use the definition of tanx as the ratio of sine to cosine. U-sub cosine and then that gives du=-sinxdx. Then you get -ln|cosx| or ln|secx|+C.
Not the simplified form, but you can pull out the factor of 4 as 199(4)(x+1)(2x^2+4x-3)^198=796(x+1)(2x^2+4x-3).
The third method is multiply sec(x)/sec(x). The integral should be sec(x)tan(x)/sec(x)dx. If you let u=sec(x) and du=sec(x)tan(x), the integral is du/u. The answer to this integral is ln(|u|)+C=ln(|sec(x)|)+C. If you want in terms of cos(x), then the answer is -ln(|cos(x)|)+C.
Good answer. Thanks
ur so underated omg
Help me in his question Cos^3xdx by using integration by party
Why? [ cos^(2)x][cosx] [1-sin^(2)x][cosx] Set your u=sinx There is no needfor integration by parts
J=xlnx-x+k
dy/dx=(lnx+1)x^x
I didn't know we could solve it using the chain rule . Thanks , pal !
I’ve always used product rule here but this is awesome!
Thanks! Yeah, product rule can also be used in this situation as it is the product of (sin x) and (sin x).
Nice!!!😉
Thanks man! 😁
You say Laun, I say Alan.
Wow
A third way: Multiply by secx/secx then let u=secx...
very nice video! thanks for sharing
One more way is integration by parts
ln ❌️ lawn ✅️
Tanx for uploading video😁
Damn daniel did you really think that I am going to click to your video just because of that cat png?
What is the diference between d/dx and dy/dx?
dy/dx is the derivative of y with respect to x. d/dx is a derivative operator (with respect to x), that tells you to differentiate. Like how + is the addition operator
@@wyldcat9396 thanks❤️
This video is great it was explained so well tysm
Thanks!
You are making circular reasoning. Aren't you? When you calculate the derivative of ln(x) you use the derivative of the exponencial función and viceversa. I mean, in another video,when you calculate the derivative of the exponencial función you use the derivative of the logarithmic función.
Well not really cuz you can get the exponential derivative from the standard definition of a derivative
i outlined a noncircular derivation in my own comment.
It's not circular. We have a definition(s) of exp, from which its derivative is derived. ln is defined through exp. So it's an implication, not a circle. You can also use the formula for the derivative of an inverse. Once again, it's simply an implication of a definition.
If you use this method with: y = log,a,(x) You also get 1/x but thats wrong
In fact, we wouldn't get 1/x if we use this method for differentiating y=log_a(x). You see the first step we take is to rewrite the equation into exponential form, then finding the derivative of this equation using implicit differentiation. In the case of y = log_a (x), if we rewrite it into exponential form as well, we actually end up with a^y = x, which requires a slightly different solution, in which we will be getting 1/(x * ln a). For more information, you made check out the following video: ua-cam.com/video/veIg0pmi-7Q/v-deo.htmlsi=fDt96aIjUNWZrFVB
@@YeahMathIsBoring Thank you Sir❤️❤️
Awesome, these are two fundamental methods everyone should know about Now differentiate x^^3 = x^(x^x) B)
Can you make a video on series and sequences , i want to learn about that
For now I'll be focusing more on calculus but I'll be covering more broader math topics as well in the future
I can't believe how could someone like you have so less subscribers you helped me a lot in calculus
Thanks, I'm glad for hearing that!
Videos are pretty solid i wont lie
If u try to differentiate a^x by definition, you will encounter a limit expression which is not related to x. You differentiate it with respect to a and you will get 1/a
Ln sec = ln 1- ln cos=-ln cos
Not completely different honestly.
I hear Sam Cooke: Ooh! Ah! Ooh! Ah! That's the sound of the kids workin' on the cha-a-ain ru-u-ule ...
I know it doesn't work, but I'd've liked to have had at least a brief discussion about why using the exponent function derivative doesn't work, e.g., we know y = x ^ n has derivative y' = nx^(n-1) If we attempt this with y = x^x, we get y' = x(x^(x-1)) * dx/dx = x^(x-1+1) * 1 = x^x I guess my question here is, _exactly what rule is it we're violating when we attempt this?_
when you differentiate x^n, n must be a constant in order for the power rule formula to apply. In this case, x is raised to a variable power (x) and therefore this rule does not apply.