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Popular >

derivative of f(x)=\sqrt[8]{x^3}-x^pi

Solution

derivative of

f (x) = 8 x^{3} - x^{π}

Solution

\frac{3 x ^{2}}{8 ( x ^{3} ) ^{\frac{7}{8}}} - π x^{π - 1}

Solution steps

\frac{d}{d x} (8 x^{3} - x^{π})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{3}) - \frac{d}{d x} (x^{π})

\frac{d}{d x} (8 x^{3}) = \frac{3 x ^{2}}{8 ( x ^{3} ) ^{\frac{7}{8}}}

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{3 x ^{2}}{8 ( x ^{3} ) ^{\frac{7}{8}}} - π x^{π - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=\sqrt[8]{x^3}-x^pi ?
The derivative of f(x)=\sqrt[8]{x^3}-x^pi is (3x^2)/(8(x^3)^{7/8)}-pix^{pi-1}
What is the first derivative of f(x)=\sqrt[8]{x^3}-x^pi ?
The first derivative of f(x)=\sqrt[8]{x^3}-x^pi is (3x^2)/(8(x^3)^{7/8)}-pix^{pi-1}