Question

How do you find the derivative of `(2x^2 -5)^3(x^3 +6x)^(4/3)`?

Answer 1

`4(x^3+6x)^(1/3)(2x^2-5)^2(5x^4+15x^2-10)`

Explanation:

By the product and the chain rule we get
`3(2x^2-5)^2*4x(x^3+6x)^(4/3)+(2x^2-5)^3*4/3(x^3+6x)^(1/3)(3x^2+6)` which simplifies to my answer