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Popular >

derivative of 5\sqrt[3]{pix}

Solution

Solution

\frac{5 π ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

Solution steps

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

Apply the chain rule:

\frac{1}{3 ( π x ) ^{\frac{2}{3}}} \frac{d}{d x} (π x)

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

\frac{d}{d x} (π x) = π

= 5 \cdot \frac{1}{3 ( π x ) ^{\frac{2}{3}}} π

Simplify

5 \cdot \frac{1}{3 ( π x ) ^{\frac{2}{3}}} π : \frac{5 π ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{5 π ^{\frac{1}{3}}}{3 x ^{\frac{2}{3}}}

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(x^7+y^7)dx+7xy^6dy=0

(x^{7} + y^{7}) d x + 7 x y^{6} d y = 0

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\int_{- \infty}^{- 3} \frac{4}{x ^{5}} d x

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\int + x^{9} x^{5} + 7 d x

derivative of (2.99*10^{16})/(r^2)derivative of

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Frequently Asked Questions (FAQ)

What is the derivative of 5\sqrt[3]{pix} ?
The derivative of 5\sqrt[3]{pix} is (5pi^{1/3})/(3x^{2/3)}
What is the first derivative of 5\sqrt[3]{pix} ?
The first derivative of 5\sqrt[3]{pix} is (5pi^{1/3})/(3x^{2/3)}