Question

Let y = (4x+(8/x))^-4 . Find derivative

Answer 1

This question can be done in two methods

Answer 2

You can use the chain rule for differentiation, or you can show the steps

Answer 3

\[y' = -4 (4x+ \frac{ 8 }{ x })^{-5} (4-\frac{ -8 }{ x^2 })\]

Answer 4

Do you know to simplify it now?

Answer 5

I figured out the first part but how did you get: (4−(-8/x^2)) ?

Answer 6

it doesnt tell me to simplify

Answer 7

It's the derivative of the term inside the exponent. It also needs to be derived.

Answer 8

ok

Answer 9

Madam do you know the chain rule of differentiation ?

Answer 10

is that the same as the constant multiple rule?

Answer 11

it's a Method which find the derivative at one go.