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Beliebt Rechnen >

derivative y=2\sqrt[5]{x^2}+4

Lösung

ableitung von

y = 2 5 x^{2} + 4

Lösung

\frac{4 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (2 5 x^{2}) = \frac{4 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

\frac{d}{d x} (4) = 0

= \frac{4 x}{5 ( x ^{2} ) ^{\frac{4}{5}}} + 0

Vereinfache

= \frac{4 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

Graph

Beliebte Beispiele

integral of 3/65 x^2

\int \frac{3}{65} x^{2} d x

integral from 0 to 4 of 4x-x^2

\int_{0}^{4} 4 x - x^{2} d x

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\int x cos (\frac{n x π}{l}) d x

volumeabout y=0,x= 1/3 (y^2+2)^{3/2},[1,3]

v o l u m e ab o u t y = 0, x = \frac{1}{3} (y^{2} + 2)^{\frac{3}{2}}, [1, 3]

(dy)/(dx)=(3x)/(10y)

\frac{d y}{d x} = \frac{3 x}{10 y}