What is the derivative of f(x)=-9x^{-1/9} ?

The derivative of f(x)=-9x^{-1/9} is 1/(x^{10/9)}

What is the first derivative of f(x)=-9x^{-1/9} ?

The first derivative of f(x)=-9x^{-1/9} is 1/(x^{10/9)}

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derivative of

f (x) = - 9 x^{- \frac{1}{9}}

\frac{1}{x ^{\frac{10}{9}}}

Solution steps

\frac{d}{d x} (- 9 x^{- \frac{1}{9}})

Take the constant out:

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

= - 9 \frac{d}{d x} (x^{- \frac{1}{9}})

Apply the Power Rule:

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

= - 9 (- \frac{1}{9} x^{- \frac{1}{9} - 1})

Simplify

- 9 (- \frac{1}{9} x^{- \frac{1}{9} - 1}) : \frac{1}{x ^{\frac{10}{9}}}

= \frac{1}{x ^{\frac{10}{9}}}

x \to - \infty lim (1 - e^{x})

(x^{3} - 8)^{\frac{2}{3}}

\frac{d}{d a} (sin (a) + sin (2 a) + sin (3 a))

- \frac{5 s}{( s ^{2} + 1 ) ^{2}}

\int (x + 1) (x + 3) d x

What is the derivative of f(x)=-9x^{-1/9} ?
The derivative of f(x)=-9x^{-1/9} is 1/(x^{10/9)}
What is the first derivative of f(x)=-9x^{-1/9} ?
The first derivative of f(x)=-9x^{-1/9} is 1/(x^{10/9)}