Question

What is the derivative of `(6x-5)^4`?

Answer 1

`y^' = 24 * (6x-5)^3`

Explanation:

You can differentiate this function by using the chain rule for `y = u^4`, with `u = 6x-5`.

This means that you can write

`d/dx(y) = [d/(du)(u^4)] * d/dx(u)`

`y^' = 4u^3 * d/dx(6x-5)`

`y^' = 4 * (6x-5)^3 * 6`

`y^' = color(green)(24 * (6x-5)^3)`