What is the derivative of 1/(11x^{10/11}) ?

The derivative of 1/(11x^{10/11}) is -(10)/(121x^{21/11)}

What is the first derivative of 1/(11x^{10/11}) ?

The first derivative of 1/(11x^{10/11}) is -(10)/(121x^{21/11)}

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\frac{d}{d x} (\frac{1}{11 x ^{\frac{10}{11}}})

- \frac{10}{121 x ^{\frac{21}{11}}}

Solution steps

\frac{d}{d x} (\frac{1}{11 x ^{\frac{10}{11}}})

Take the constant out:

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

= \frac{1}{11} \frac{d}{d x} (\frac{1}{x ^{\frac{10}{11}}})

Apply exponent rule:

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

= \frac{1}{11} \frac{d}{d x} (x^{- \frac{10}{11}})

Apply the Power Rule:

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

= \frac{1}{11} (- \frac{10}{11} x^{- \frac{10}{11} - 1})

Simplify

\frac{1}{11} (- \frac{10}{11} x^{- \frac{10}{11} - 1}) : - \frac{10}{121 x ^{\frac{21}{11}}}

= - \frac{10}{121 x ^{\frac{21}{11}}}

\int (x^{2} + 3) e^{x} d x

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

\frac{\partial}{\partial x} (e^{- 2 t})

\int \frac{cos ( x )}{2} d x

s l o p e (2.5) (3.7)

What is the derivative of 1/(11x^{10/11}) ?
The derivative of 1/(11x^{10/11}) is -(10)/(121x^{21/11)}
What is the first derivative of 1/(11x^{10/11}) ?
The first derivative of 1/(11x^{10/11}) is -(10)/(121x^{21/11)}