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Beliebt Rechnen >

derivative (x^3)/3+1/(4x)

Lösung

ableitung von

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

Lösung

x^{2} - \frac{1}{4 x ^{2}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} - \frac{1}{4 x ^{2}}

Graph

Beliebte Beispiele

derivative f(x)= 2/(5x^2)

d er i v a t i v e f (x) = \frac{2}{5 x ^{2}}

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

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

y^{''}-2y^'-35y=0

y^{^{''}} - 2 y^{^{'}} - 35 y = 0

integral of (x^2)/(sqrt(16+x^6))

\int \frac{x ^{2}}{16 + x ^{6}} d x

integral of ((1+x^2)^{1/2})/x

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