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Beliebt Rechnen >

derivative 1/(2sqrt(r))+1/(5r^{4/5)}

Lösung

ableitung von

\frac{1}{2 r} + \frac{1}{5 r ^{\frac{4}{5}}}

Lösung

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{4}{25 r ^{\frac{9}{5}}}

Schritte zur Lösung

\frac{d}{d r} (\frac{1}{2 r} + \frac{1}{5 r ^{\frac{4}{5}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d r} (\frac{1}{2 r}) + \frac{d}{d r} (\frac{1}{5 r ^{\frac{4}{5}}})

\frac{d}{d r} (\frac{1}{2 r}) = - \frac{1}{4 r ^{\frac{3}{2}}}

\frac{d}{d r} (\frac{1}{5 r ^{\frac{4}{5}}}) = - \frac{4}{25 r ^{\frac{9}{5}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{4}{25 r ^{\frac{9}{5}}}

Graph

Beliebte Beispiele

integral of (-x)/(1-0.5x)

\int \frac{- x}{1 - 0.5 x} d x

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

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

derivative of 2x-sqrt(x+3)

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

derivative sin^2(x^2)

d er i v a t i v e sin^{2} (x^{2})

(d^2y)/(dx^2)-4(dy)/(dx)+4y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 0