What is the derivative of the function?

Question

Use the General Power Rule to find the derivative of the function.

f(x) = (10x³ − 6x)^4/3

Answer 1

Using the power rule, the derivative is f'(x) = (4/3)(10x³-6x)^(4/3-1)(30x²-6) = (4/3)(10x³-6x)^(1/3)(30x²-6)

or f'(x) = (10x³-6x)^(1/3)(40x²-8)