Question

How do you determine `(dy)/(dx)` given `f(x)=(3x^4-7)^10`?

Answer 1

`f'(x)=120x^3(3x^4-7)^9`

Explanation:

`f(x)= (3x^4-7)^10`

`f'(x) = 10(3x^4-7)^9 * d/dx(3x^4-7)` (Power rule and Chain rule)

`= 10(3x^4-7)^9 * (12x^3 -0)` (Power rule)

`= 120x^3(3x^4-7)^9`