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Beliebt Rechnen >

derivative of x^4+1/(32x^2)

Lösung

\frac{d}{d x} (x^{4} + \frac{1}{32 x ^{2}})

Lösung

4 x^{3} - \frac{1}{16 x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (x^{4} + \frac{1}{32 x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (\frac{1}{32 x ^{2}})

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

\frac{d}{d x} (\frac{1}{32 x ^{2}}) = - \frac{1}{16 x ^{3}}

= 4 x^{3} - \frac{1}{16 x ^{3}}

Graph

Beliebte Beispiele

derivative of 4+3sin(x)

\frac{d}{d x} (4 + 3 sin (x))

limit as x approaches+0+of ln(0)

x \to + 0 + lim (ln (0))

integral of sin^5(13x)

\int sin^{5} (13 x) d x

integral of 6sec^6(t)

\int 6 sec^{6} (t) d t

(\partial)/(\partial t)(sqrt(1+t))

\frac{\partial}{\partial t} (1 + t)