Question

How do you differentiate `3(x^2-2)^4`?

Answer 1

`(dz)/(dx)=24x(x^2-2)^3`

Explanation:

`u=x^2-2`

`z=3(u)^4`

`u=x^2-2`

`(du)/dx=2x`

`Z=3(u)^4`

`(dz)/(du)=12u^3`

we need `(dz)/(dx)`

`(du)/dxxx(dz)/(du)`

`(dz)/(dx)=24x(x^2-2)^3`