Question

how do i prove d/dx cos(x^2)=-2sin(x^2) is true/false?

Answer 1

Ahhhh headache

Answer 2

take the derivative using the chain rule and see that you get something different

Answer 3

the derivative of \(x^2\) is \(2x\) so the correct answer is
\[-2x\sin(x^2)\]

Answer 4

but im confused as hot to start the chain rule...

Answer 5

how*

Answer 6

the derivative of \(\cos(x)\) is \(-\sin(x)\)
by the chain rule the derivative of \(\cos(f(x))\) is \(-\sin(f(x))\times f'(x)\)

Answer 7

so you get -sin(x^2) x 2x and we get -2xsin(x^2)?

Answer 8

thank you!!

Answer 9

yes
yw