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Beliebt Rechnen >

derivative (2w^3-w)/w

Lösung

ableitung von

\frac{2 w ^{3} - w}{w}

Lösung

4 w

Schritte zur Lösung

\frac{d}{d w} (\frac{2 w ^{3} - w}{w})

Vereinfache

\frac{2 w ^{3} - w}{w} : 2 w^{2} - 1

= \frac{d}{d w} (2 w^{2} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d w} (2 w^{2}) - \frac{d}{d w} (1)

\frac{d}{d w} (2 w^{2}) = 4 w

\frac{d}{d w} (1) = 0

= 4 w - 0

Vereinfache

= 4 w

Graph

Beliebte Beispiele

integral of t(t^2+1)^5

\int t (t^{2} + 1)^{5} d t

sum from n=0 to infinity of (n-1)/(n^2)

n = 0 \sum \infty \frac{n - 1}{n ^{2}}

integral of 1+e^t

\int 1 + e^{t} d t

y^{''}+0.1y^'+0.0004y=0

y^{^{''}} + 0.1 y^{^{'}} + 0.0004 y = 0

tangent f(x)=(x-6)/(x+2),\at x=2

t an g e n t f (x) = \frac{x - 6}{x + 2}, at x = 2