What is the derivative of (12/(\sqrt[4]{x)}) ?

The derivative of (12/(\sqrt[4]{x)}) is -3/(x^{5/4)}

What is the first derivative of (12/(\sqrt[4]{x)}) ?

The first derivative of (12/(\sqrt[4]{x)}) is -3/(x^{5/4)}

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- \frac{3}{x ^{\frac{5}{4}}}

Solution steps

Take the constant out:

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

Apply exponent rule:

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

= 12 \frac{d}{d x} (x^{- \frac{1}{4}})

Apply the Power Rule:

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

= 12 (- \frac{1}{4} x^{- \frac{1}{4} - 1})

Simplify

12 (- \frac{1}{4} x^{- \frac{1}{4} - 1}) : - \frac{3}{x ^{\frac{5}{4}}}

= - \frac{3}{x ^{\frac{5}{4}}}

\int_{0}^{1} \frac{6}{4 y - 1} d y

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

\int 2 x + y d x

y^{^{'}} = t y e^{- t}

\int \frac{1}{2 x + 9} d x

What is the derivative of (12/(\sqrt[4]{x)}) ?
The derivative of (12/(\sqrt[4]{x)}) is -3/(x^{5/4)}
What is the first derivative of (12/(\sqrt[4]{x)}) ?
The first derivative of (12/(\sqrt[4]{x)}) is -3/(x^{5/4)}