What is the derivative of 5/(\sqrt[4]{x}) ?

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

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

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

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\frac{d}{d x} (\frac{5}{4 x})

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

Solution steps

\frac{d}{d x} (\frac{5}{4 x})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{4 x})

Apply exponent rule:

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

= 5 \frac{d}{d x} (x^{- \frac{1}{4}})

Apply the Power Rule:

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

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

Simplify

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

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

\frac{\partial}{\partial x} (x^{2} + 2 y^{3})

\frac{d y}{d x} = \frac{( y ^{2} + 2 x x ^{2} + y ^{2} )}{x y}

\frac{s}{s ^{2} + 7 s + 2}

\int 3 cos (\frac{x}{3}) d x

\frac{d}{d x} (4 x e^{4 x})

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