Question

How do you differentiate `y =(−7 x^2 − 5)^8` using the chain rule?

Answer 1

`dy/dx = -112x(-7x^2-5)^7`

Explanation:

Applying the chain rule gives us

`dy/dx = d/dx(-7x^2 - 5)^8`

`=8(-7x^2-5)^7(d/dx(-7x^2-5))`

`= 8(-7x^2-5)^7(-14x)`

So

`dy/dx = -112x(-7x^2-5)^7`