Answer:
B.
Step-by-step explanation:
Basic Power Rule: f'(x) = n · xⁿ⁻¹
Step 1: Define
[tex]\frac{dy}{dx} [6x^{\frac{-2}{3} }][/tex]
Step 2: Use Basic Power Rule
[tex]f'(x)=6(\frac{-2}{3})x^{\frac{-2}{3} -1}[/tex]
[tex]f'(x)=-4x^{\frac{-5}{3}}[/tex]
Step 3: Simplify
[tex]f'(x)=\frac{-4}{x^{\frac{5}{3} }}[/tex]
[tex]f'(x)=\frac{-4}{\sqrt[3]{x^5} }[/tex]
