What is the derivative of-(10)/(\sqrt[4]{x)} ?

The derivative of-(10)/(\sqrt[4]{x)} is 5/(2x^{5/4)}

What is the first derivative of-(10)/(\sqrt[4]{x)} ?

The first derivative of-(10)/(\sqrt[4]{x)} is 5/(2x^{5/4)}

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derivative of

\frac{5}{2 x ^{\frac{5}{4}}}

Solution steps

Take the constant out:

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

Apply exponent rule:

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

= - 10 \frac{d}{d x} (x^{- \frac{1}{4}})

Apply the Power Rule:

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

= - 10 (- \frac{1}{4} x^{- \frac{1}{4} - 1})

Simplify

- 10 (- \frac{1}{4} x^{- \frac{1}{4} - 1}) : \frac{5}{2 x ^{\frac{5}{4}}}

= \frac{5}{2 x ^{\frac{5}{4}}}

\frac{s ^{3} + s + 6}{s ^{4} ( s + 2 )}

\int_{7}^{8} \frac{x}{x ^{2} - 3} d x

x \to 7 + lim (3 x + 5)

x

\frac{d y}{d t} = 2 y - 3 e^{- t}

What is the derivative of-(10)/(\sqrt[4]{x)} ?
The derivative of-(10)/(\sqrt[4]{x)} is 5/(2x^{5/4)}
What is the first derivative of-(10)/(\sqrt[4]{x)} ?
The first derivative of-(10)/(\sqrt[4]{x)} is 5/(2x^{5/4)}