de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=x^{-2/5}+x^{2/5}

Lösung

ableitung von

f (x) = x^{- \frac{2}{5}} + x^{\frac{2}{5}}

Lösung

- \frac{2}{5 x ^{\frac{7}{5}}} + \frac{2}{5 x ^{\frac{3}{5}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (x^{- \frac{2}{5}}) = - \frac{2}{5 x ^{\frac{7}{5}}}

\frac{d}{d x} (x^{\frac{2}{5}}) = \frac{2}{5 x ^{\frac{3}{5}}}

= - \frac{2}{5 x ^{\frac{7}{5}}} + \frac{2}{5 x ^{\frac{3}{5}}}

Graph

Beliebte Beispiele

(\partial)/(\partial y)((y^2)/(1+x^2))

\frac{\partial}{\partial y} (\frac{y ^{2}}{1 + x ^{2}})

integral of (x-2)/(x^2-7x+12)

\int \frac{x - 2}{x ^{2} - 7 x + 12} d x

(dy)/(dx)=(x(1+y^2))/(4y)

\frac{d y}{d x} = \frac{x ( 1 + y ^{2} )}{4 y}

derivative of x/2+3/2+4/(x+1)

\frac{d}{d x} (\frac{x}{2} + \frac{3}{2} + \frac{4}{x + 1})

x (x - 4) y^{^{'}} + y = 0