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Beliebt Rechnen >

((x^4)/8+1/(4x^2))^'

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

(\frac{x ^{4}}{8})^{'} = \frac{x ^{3}}{2}

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

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

Graph

Beliebte Beispiele

derivative of e^{(x^2/2}x)

\frac{d}{d x} (e^{\frac{x ^{2}}{2}} x)

integral of e^{-3y}

\int e^{- 3 y} d y

limit as x approaches 6 of x+6

x \to 6 lim (x + 6)

(d^2)/(dx^2)(1/(3+t))

\frac{d ^{2}}{d x ^{2}} (\frac{1}{3 + t})

tangent f(x)=x^2-x+1

t an g e n t f (x) = x^{2} - x + 1