It would be 4*tan^3(5x-1)*sec^2(5x-1)*5 You do the power rule with tangent, then take the derivative of tangent (sec^2) then take the derivative of 5x-1, being 5.
Das ist das beste Video über dieses Thema. Liebe dich einface! Weißte, im Januar 2024 schreibe ich ne wichtige Prüfung und das hilft mir sicher. Du verdient millionen Anhänger:innen 😍😍
Hello Mr Joel Prestigiacomo, I am a self-learner. I need your help with this question of probability using SIMULATION, please! Question: A teacher gives her class a test consisting of five "true or false" questions. Use simulation to estimate the probability that a student who guesses the answer to every question gets at least three correct. Answer from the text = 0.172 approximately
@@huyanhle huh. Without seeing the text I will give you my thoughts. At least 3 out of 5 means 3 or 4 or 5. There are 32 different possibilities. 5 correct is easy as there is only 1 way to get all 5 correct (You can also do 5c5 to calculate this). Add that 1 to 5, (the number of ways to get 4 of 5, 5c4). Add the now 6 with 10 (the number of ways to get 3 of 5, 5c3) and now you have 16. This should leave you at 16/32 which is 1/2 or 50%. This is the theoretical probability. A simulation would require a table or another way to accurately mimic the probability or guessing correctly on a 50/50 problem. 0.172 seems really considering the theoretical is 0.50.
It all just dials backwards, like an analog clock would move. I have a video on negative angles so please check it out. We start at 0 degrees, straight east, or 3 o'clock. Negative angles begin from there by going backwards, or clockwise.
This saved me! Thank you. I was so confused with the exponent and the way it was written and applying the chain rule, also I didn't know that the inside of sinx stayed the same like sin(2x) becomes cos(2x). I know sinx' = cosx but not not about if x was something else... Thank you
That really helped alot! I think it should have gotten more likes.Now I know something completely knew BUT what is the name of an angle over 360 degrees?
You could convert it but you would have to do the product as you would then be working with a product. I find that is almost always inferior to using the quotient rule as you would then likely have to factor and simplify, where as the quotient rule sets you up to avoid that.
I just realized there's an easy way to solve that sin^2(3x). You just expand the equation to sin(3x) × sin(3x) then apply the rule on particles. The d(uv)/dx rule. Then you just to add 3sin(3x)cos(3x) + 3sin(3x)cos(3x). Same answer, easier method.
Yes, definitely easier in that sense. My goal was to show the overall method and not necessarily the most efficient way to solve this particular problem. This method would certainly be the best if the exponent was negative, or rational and not 1 or 2.
My professor doesn't explain what he is doing and literally just says "This is a two, then we have a 6, then we put it over here." Its so frustrating, so thank you. This really helped me.
If I don't take sin(x²) and instead I use (sin²x) and solve it then I get a different answer. For 1st cond. Sin(x²)= 2 sinx. cosx And 2nd cond. Sin²x = d/dx ( sin²x)= cos²(x). 2x Which one is correct. ?
Thank you so much!
Well done.
This is half of my life years old and now am a 11th grader
i still dont understand because what about those ones with the power more than 2 e.g tan^4(5x-1)
It would be 4*tan^3(5x-1)*sec^2(5x-1)*5 You do the power rule with tangent, then take the derivative of tangent (sec^2) then take the derivative of 5x-1, being 5.
Thank you Doc, ndatsho ndabona I was so confused 🤍
amazing video
For the algorithm!
Das ist das beste Video über dieses Thema. Liebe dich einface! Weißte, im Januar 2024 schreibe ich ne wichtige Prüfung und das hilft mir sicher. Du verdient millionen Anhänger:innen 😍😍
Thank you so much for your kind words.
😄thanks
Thank you sir
Vert difficult way of explaining chain function
Bro u really are amazing I want u back
Thank you. My life is different now but I am willing to help those that want it. Send me questions and I will try to answer.
Very clear explanation love it!
Third
Hello Mr Joel Prestigiacomo, I am a self-learner. I need your help with this question of probability using SIMULATION, please! Question: A teacher gives her class a test consisting of five "true or false" questions. Use simulation to estimate the probability that a student who guesses the answer to every question gets at least three correct. Answer from the text = 0.172 approximately
Are you being given a table of random numbers? A simulation with a definite answer must have a pool of data to use for the simulationl.
@Joel Prestigiacomo Sorry! This question from the textbook and it has no random number table
@@huyanhle huh. Without seeing the text I will give you my thoughts. At least 3 out of 5 means 3 or 4 or 5. There are 32 different possibilities. 5 correct is easy as there is only 1 way to get all 5 correct (You can also do 5c5 to calculate this). Add that 1 to 5, (the number of ways to get 4 of 5, 5c4). Add the now 6 with 10 (the number of ways to get 3 of 5, 5c3) and now you have 16. This should leave you at 16/32 which is 1/2 or 50%. This is the theoretical probability. A simulation would require a table or another way to accurately mimic the probability or guessing correctly on a 50/50 problem. 0.172 seems really considering the theoretical is 0.50.
*really low
Thanks Sir! Doubts cleared. Are u still active ?! 🙂
I am still here to help all.
Is the secomd example chain rule
They both are.
@@joelprestigiacomo4093but in the second example there’s three derivatives when shouldn’t there be 2 when using chain rule?
@@doceydo7606 the chain rule can involve more than just 2 parts if there are multiple inside functions.
thanks bro 🎉
i wish i had a good calculus professor, such a interesting subject
My exam : tomorrow Time rgt now : 2 am Watching : this video Result : worth it 🔥🔥🔥🔥🔥
It has been 8 years since this video was uploaded and you’re still saving students from failing
what happens if the angle is negative?
It all just dials backwards, like an analog clock would move. I have a video on negative angles so please check it out. We start at 0 degrees, straight east, or 3 o'clock. Negative angles begin from there by going backwards, or clockwise.
This saved me! Thank you. I was so confused with the exponent and the way it was written and applying the chain rule, also I didn't know that the inside of sinx stayed the same like sin(2x) becomes cos(2x). I know sinx' = cosx but not not about if x was something else... Thank you
Thank you! You made this super easy
Brilliant explanation.
Don't stop. Please come back. You helped me a lot
Thank you for the kine explanations.
Thank you sir, you save my final exam.
Thanks for this amazing video..🌞
Truly exceptional explanation
joel why did you stop posting
joel why did this video blow up
idk man, I am just happy it has been helpful to some
Helped me so much!!!!
Thank you so much, I was on the verge of tears
Randy
That really helped alot! I think it should have gotten more likes.Now I know something completely knew BUT what is the name of an angle over 360 degrees?
An angle over 360 that is a multiple of 360 away is called a coterminal angle (eq, 40 and 400, or 180 and 540)
5:10 Couldn't we just have converted ln(x) to (ln(x))^-1 and used the power rule?
You could convert it but you would have to do the product as you would then be working with a product. I find that is almost always inferior to using the quotient rule as you would then likely have to factor and simplify, where as the quotient rule sets you up to avoid that.
I just realized there's an easy way to solve that sin^2(3x). You just expand the equation to sin(3x) × sin(3x) then apply the rule on particles. The d(uv)/dx rule. Then you just to add 3sin(3x)cos(3x) + 3sin(3x)cos(3x). Same answer, easier method.
Yes, definitely easier in that sense. My goal was to show the overall method and not necessarily the most efficient way to solve this particular problem. This method would certainly be the best if the exponent was negative, or rational and not 1 or 2.
That's really understandable sir .. Thank You very much🤧 Gratitude from Philippines🇵🇭
💞💞💞
Sir please solve this question d\dx (√1+y'÷√y_y.)
My professor doesn't explain what he is doing and literally just says "This is a two, then we have a 6, then we put it over here." Its so frustrating, so thank you. This really helped me.
I respected those funcion so hard
Thanks alot this is the best video so far that have explained abt simulation concept
Second
just get to the fucking point
Well delivered
FIRST
Thankyou 🤧
If I don't take sin(x²) and instead I use (sin²x) and solve it then I get a different answer. For 1st cond. Sin(x²)= 2 sinx. cosx And 2nd cond. Sin²x = d/dx ( sin²x)= cos²(x). 2x Which one is correct. ?
Both are wrong. First would be cos(x^2)*2x Second would be 2sin(x)cos(x)
How could both be wrong? Just because i had written " . " instead " * "