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

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

Solution steps

Apply radical rule:

= \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}}}

f (x) = 72 x (6 x^{2} + 8)^{5}

\frac{\partial}{\partial x} (1 + x)

\int_{- 5}^{5} 10 d x

tan^{2} (7 x)

\int_{0}^{\frac{π}{2}} 5 sec^{4} (\frac{t}{2}) d t

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)}