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Beliebt Rechnen >

derivative of (x^4/4+1/(8x^2))

Lösung

\frac{d}{d x} (\frac{x ^{4}}{4} + \frac{1}{8 x ^{2}})

Lösung

x^{3} - \frac{1}{4 x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{4}}{4} + \frac{1}{8 x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{4}}{4}) + \frac{d}{d x} (\frac{1}{8 x ^{2}})

\frac{d}{d x} (\frac{x ^{4}}{4}) = x^{3}

\frac{d}{d x} (\frac{1}{8 x ^{2}}) = - \frac{1}{4 x ^{3}}

= x^{3} - \frac{1}{4 x ^{3}}

Graph

Beliebte Beispiele

integral from 0 to 2 of x^2ln(x)

\int_{0}^{2} x^{2} ln (x) d x

integral from 2 to 5 of x^6

\int_{2}^{5} x^{6} d x

xy^'-2y^'-(x-2)cos(x)+y=0

x y^{^{'}} - 2 y^{^{'}} - (x - 2) cos (x) + y = 0

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\int e^{c o s (7 t)} sin (7 t) d t

derivative of 4*sqrt(x^2+3x)

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