Question

Please help with homework! I don't understand this ​

Answer 1

B.

Explanation:

Basic Power Rule: f'(x) = n · xⁿ⁻¹

Step 1: Define

`(dy)/(dx) [6x^{(-2)/(3) }]`

Step 2: Use Basic Power Rule

`f'(x)=6((-2)/(3))x^{(-2)/(3) -1}`

`f'(x)=-4x^{(-5)/(3)}`

Step 3: Simplify

`f'(x)=\frac{-4}{x^{(5)/(3) }}`

`f'(x)=\frac{-4}{\sqrt[3]{x^5} }`