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Beliebt Rechnen >

derivative (y^4)/8+1/(4y^2)

Lösung

ableitung von

\frac{y ^{4}}{8} + \frac{1}{4 y ^{2}}

Lösung

\frac{y ^{3}}{2} - \frac{1}{2 y ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d y} (\frac{y ^{4}}{8}) = \frac{y ^{3}}{2}

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

= \frac{y ^{3}}{2} - \frac{1}{2 y ^{3}}

Graph

Beliebte Beispiele

5 y^{^{''}} + 26 y = 0

derivative e^{x^2+9x+7}

d er i v a t i v e e^{x^{2} + 9 x + 7}

sum from n=2 to infinity of 2nln(n)

n = 2 \sum \infty 2 n ln (n)

integral of 9x^{2/3}

\int 9 x^{\frac{2}{3}} d x

limit as x approaches-infinity of 3-2^x

x \to - \infty lim (3 - 2^{x})