What is the derivative of (10)/(\sqrt[5]{x)} ?

The derivative of (10)/(\sqrt[5]{x)} is -2/(x^{6/5)}

What is the first derivative of (10)/(\sqrt[5]{x)} ?

The first derivative of (10)/(\sqrt[5]{x)} is -2/(x^{6/5)}

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derivative of

\frac{10}{5 x}

- \frac{2}{x ^{\frac{6}{5}}}

Solution steps

\frac{d}{d x} (\frac{10}{5 x})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{1}{5 x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 10 \frac{d}{d x} (x^{- \frac{1}{5}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 (- \frac{1}{5} x^{- \frac{1}{5} - 1})

Simplify

10 (- \frac{1}{5} x^{- \frac{1}{5} - 1}) : - \frac{2}{x ^{\frac{6}{5}}}

= - \frac{2}{x ^{\frac{6}{5}}}

\frac{( x - 1 )}{x + 1}

f (x) = (x)^{3} e^{(3 x)}

\frac{d}{d x} (\frac{1}{8 + x ^{2}})

\int 4 x^{2} + 1 d x

\frac{3}{5 x + 2}

What is the derivative of (10)/(\sqrt[5]{x)} ?
The derivative of (10)/(\sqrt[5]{x)} is -2/(x^{6/5)}
What is the first derivative of (10)/(\sqrt[5]{x)} ?
The first derivative of (10)/(\sqrt[5]{x)} is -2/(x^{6/5)}