What is the derivative of 1/(\sqrt[4]{x)} ?

The derivative of 1/(\sqrt[4]{x)} is -1/(4x^{5/4)}

What is the first derivative of 1/(\sqrt[4]{x)} ?

The first derivative of 1/(\sqrt[4]{x)} is -1/(4x^{5/4)}

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derivative of

\frac{1}{4 x}

- \frac{1}{4 x ^{\frac{5}{4}}}

Solution steps

\frac{d}{d x} (\frac{1}{4 x})

Apply exponent rule:

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

= \frac{d}{d x} (x^{- \frac{1}{4}})

Apply the Power Rule:

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

= - \frac{1}{4} x^{- \frac{1}{4} - 1}

Simplify

- \frac{1}{4} x^{- \frac{1}{4} - 1} : - \frac{1}{4 x ^{\frac{5}{4}}}

= - \frac{1}{4 x ^{\frac{5}{4}}}

\int (1 - x) (1 - 2 x) (1 - 3 x) d x

\int \frac{sin ^{2} ( x ) cos ( 2 x )}{2} d x

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

x^{^{''}} - 12 x^{^{'}} + 36 x = 2 t e^{6 t}

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What is the derivative of 1/(\sqrt[4]{x)} ?
The derivative of 1/(\sqrt[4]{x)} is -1/(4x^{5/4)}
What is the first derivative of 1/(\sqrt[4]{x)} ?
The first derivative of 1/(\sqrt[4]{x)} is -1/(4x^{5/4)}