What is the derivative of f(x)= 1/(\sqrt[9]{x)} ?

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

What is the first derivative of f(x)= 1/(\sqrt[9]{x)} ?

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

Popular >

derivative of

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

\frac{\partial}{\partial x} (t^{4} e^{- x})

\int (\frac{2}{x} - 3 x x + 2) d x

y = - x^{3} + 2 x^{2} + 1, at x = - 1

y^{^{''}} - 2 a y^{^{'}} + a^{2} y = 0

\int - sin (θ) d θ

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