What is the derivative of f(x)=3-\sqrt[3]{x-2} ?

The derivative of f(x)=3-\sqrt[3]{x-2} is -1/(3(x-2)^{2/3)}

What is the first derivative of f(x)=3-\sqrt[3]{x-2} ?

The first derivative of f(x)=3-\sqrt[3]{x-2} is -1/(3(x-2)^{2/3)}

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derivative of

- \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

\frac{d}{d x} (3) = 0

= 0 - \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

Simplify

= - \frac{1}{3 ( x - 2 ) ^{\frac{2}{3}}}

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What is the derivative of f(x)=3-\sqrt[3]{x-2} ?
The derivative of f(x)=3-\sqrt[3]{x-2} is -1/(3(x-2)^{2/3)}
What is the first derivative of f(x)=3-\sqrt[3]{x-2} ?
The first derivative of f(x)=3-\sqrt[3]{x-2} is -1/(3(x-2)^{2/3)}