Differentiation (Gradients, Tangents and Normals)

Exam Questions: www.1stclassma...
In this video I explain how to find gradients as well as equations of tangents and normals to curves. This video is intended for those studying AQA's Level 2 Further Maths GCSE.

[@user-xo1lr2cz8w]

tomorrow is the test, just learning this now, this channel is a life saver

[@darceylyne3604]

Good to know I’m not the only one lol
Please be an easier paper 🙏

[@smokinhot12]

5 years old revising for my exam this afternoon! thank u bro 🎉

[@skibidinigga-pm1lu]

you're a five year old?

[@Deadman2DX]

@@skibidinigga-pm1lu Lol some 5 year Olds are probs doing a level maths in like India or china

[@sasirekhakarthikeyan4495]

Lol

[@revising-lx2or]

far better than most videos i saw before this one thanks

[@Mathspaperks1ks2]

Excellent video sir good job.

[@jared9339]

Thank you man this really helped me 🙏🏻

[@1stClassMaths]

Glad to hear it!

[@kyle_--]

12 years old here revising for the exam tmrw. ty!
edit: it’s a joke im 16 😂. gl!

[@DARSgames]

im only just learning the topics 💀

[@MrLimo-ii8rp]

aint no way you're 12 and studying this... XD I got 2 exams tomorrow too, so good luck!

[@penguinysquad]

why is a 12 year old doing further maths. Good luck tho

[@penguinysquad]

@@MrLimo-ii8rp same chem and further maths, im not ready

[@Ch44R187]

Doing a further maths test at 14 and had to revise old maths I'd forgotten for an exam. This really helped

[@pharaoh5633]

Why did you feel you needed to tell everyone you are 14

[@xqnack8237]

@@pharaoh5633he thinks he’s special

[@zaadchima2209]

Ratio lmaooo

[@bengomez7615]

Thanks bro!

[@samanvithabhat]

For the last question, why can you use the x and y coordinates of the original equation for the normal? How do you know that the point (1,-2) is on the normal line?

[@1stClassMaths]

We are finding the normal at the point where x = 1
This means both the normal and the curve will intersect at the point when x = 1
Using the original curve's equation we find the y coordinate when x = 1 to be -2 so the point where they intersect is (1,-2). This means this point must both be on the curve and the normal. The same idea applies when you do tangents as well. You will often need to know the coordinates of a point on the normal/tangent and the easiest one to use is the one where it crosses the curve as they both have the same coordinate.

[@samanvithabhat]

@@1stClassMaths thank you, that makes sense

[@Hakman1]

Ty

[@morkshanmedia3998]

This is very helpful thank you

[@user-yu7ds1hj7p]

ur the best

[@1stClassMaths]

no u

[@AbiKay]

Thanks

[@seanchan3322]

Last minute 😂

[@vestalcry]

gl to both of us (cooked)

[@user-gt5le7rl7o]

From iraq , studying this at age about 15

[@viewstboat]

Bro thinks he has 130 iq 💀

[@dynasticruler]

Mate my whole class is 15/16 and we are studying this together 💀

[@alexvick3733]

Bro is not special 😂😂😂😂

[@sherifhazem1472]

@@dynasticrulerbros mad cuz he repeated school a few times and has a below average intelligence level 🐒

[@arjunpendyala3813]

I'm 13

[@ee-tg6zt]

For the last question why cant I find the equation of the tangent, and then find the equation of the normal from there

[@1stClassMaths]

Hi. You can do this yet but it is not necessary. You don't need the full equation of the tangent, only it's gradient. The y intercept for the tangent unfortunately doesn't help get the equation of the normal at all so you may as well skip it!

[@ee-tg6zt]

@@1stClassMaths Oh yeah that makes sence, thank you.