Thread: Differentiating y(x)

hi guys can you help me this please:

Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere. For what value of y is the rate of change of y^5 with respect to x eighty times the rate of change of y with respect to x?

This question is under a chapter that deals with Chain Rule, if that helps.

I thought it might be something like this:

Originally Posted by RezMan

hi guys can you help me this please:

Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere. For what value of y is the rate of change of y^5 with respect to x eighty times the rate of change of y with respect to x?

This question is under a chapter that deals with Chain Rule, if that helps.

I thought it might be something like this:

it should be