en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

\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}}}

Popular Examples

inverse oflaplace ((s-5))/((s^2-6s+25))inverse laplace

\frac{( s - 5 )}{( s ^{2} - 6 s + 25 )}

derivative of (6x^7/(5tan(x)))

\frac{d}{d x} (\frac{6 x ^{7}}{5 tan ( x )})

derivative of (2x+5x^{-2/5}/(x^2+1))

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

(\partial)/(\partial x)(x^4y^3-4x^2y+y^5)

\frac{\partial}{\partial x} (x^{4} y^{3} - 4 x^{2} y + y^{5})

tangent of f(x)=cos((pix)/2),\at x=0.8 tangent of

f (x) = cos (\frac{π x}{2}), at x = 0.8

Frequently Asked Questions (FAQ)

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