What is the derivative of \sqrt[11]{x} ?

The derivative of \sqrt[11]{x} is 1/(11x^{10/11)}

What is the first derivative of \sqrt[11]{x} ?

The first derivative of \sqrt[11]{x} is 1/(11x^{10/11)}

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derivative of

11 x

\frac{1}{11 x ^{\frac{10}{11}}}

Solution steps

\frac{d}{d x} (11 x)

Apply radical rule:

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

= \frac{d}{d x} (x^{\frac{1}{11}})

Apply the Power Rule:

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

= \frac{1}{11} x^{\frac{1}{11} - 1}

Simplify

\frac{1}{11} x^{\frac{1}{11} - 1} : \frac{1}{11 x ^{\frac{10}{11}}}

= \frac{1}{11 x ^{\frac{10}{11}}}

d er i v a t i v e tan^{2} (7 x)

\int \frac{- 1200 x}{25 - x ^{2}} d x

d er i v a t i v e 3.23 e^{- 61.4 t}

x \to 3 lim (\frac{( 4 - x )}{x - 3})

d er i v a t i v e \frac{4 x}{5 - tan ( x )}

What is the derivative of \sqrt[11]{x} ?
The derivative of \sqrt[11]{x} is 1/(11x^{10/11)}
What is the first derivative of \sqrt[11]{x} ?
The first derivative of \sqrt[11]{x} is 1/(11x^{10/11)}