Question

find the derivative of the function….
3(4-x^2)^5
can someone please explain how to do this step by step…I need at least an example so I can do my other problems that have to do with finding derivatives….PLEASE…And NO I DONT JUST WANT THE ANSWER. I want to be able to understand this…. Please help...

Answer 1

d (x^n)/ dx= ?

Answer 2

u know the derivative of x^n w.r.t. x?

Answer 3

nooooo?

Answer 4

derivative of x^n w.r.t. x = d (x^n)/ dx = n* x^(n-1)
fine?

Answer 5

yes

Answer 6

u have to find the derivative of 3(4-x^2)^5 wrt x
u know chain rule?

Answer 7

if no...forget it for now.

Answer 8

yes.. i do kinda

Answer 9

derivative of 3(4-x^2)^5 wrt x
suppose (4-x^2)=t
so now we have to find the derivative of 3 t^5 wrt x.

d(3 t^5)/ dx= 3 d(t^5)/dx,
3 is a constant ...so pulled it outside.

Answer 10

fine?

Answer 11

because derivative of a constant term is 0 so 3 is pulled out outside.

Answer 12

does it make sense?

Answer 13

jessiedeee , Did you get it ?

Answer 14

sorry, I had to go…. but @akash123 yes It makes sense...

Answer 15

Good!