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Find the Derivative of the Function f(x)=(x3−8)2/3f(x)=\left(x^{3}-8\right)^{2 / 3} A) f′(x)=2x2x3−83f^{\prime}(x)=\frac{2 x^{2}}{\sqrt[3]{x^{3}-8}}

Question 257

Multiple Choice

Find the derivative of the function.
- f(x) =(x3−8) 2/3f(x) =\left(x^{3}-8\right) ^{2 / 3}


A) f′(x) =2x2x3−83f^{\prime}(x) =\frac{2 x^{2}}{\sqrt[3]{x^{3}-8}}
B) f′(x) =xx3−83f^{\prime}(x) =\frac{x}{\sqrt[3]{x^{3}-8}}
C) f′(x) =x2x3−83f^{\prime}(x) =\frac{x^{2}}{\sqrt[3]{x^{3}-8}}
D) f′(x) =2xx3−83f^{\prime}(x) =\frac{2 x}{\sqrt[3]{x^{3}-8}}

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