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Beliebt Rechnen >

derivative \sqrt[5]{x^2}-x^pi

Lösung

ableitung von

5 x^{2} - x^{π}

Lösung

\frac{2 x}{5 ( x ^{2} ) ^{\frac{4}{5}}} - π x^{π - 1}

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - x^{π})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (x^{π})

\frac{d}{d x} (5 x^{2}) = \frac{2 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{2 x}{5 ( x ^{2} ) ^{\frac{4}{5}}} - π x^{π - 1}

Graph

Beliebte Beispiele

integral of 2+t

\int 2 + t d t

derivative f(x)=\sqrt[4]{t}

d er i v a t i v e f (x) = 4 t

limit as x approaches infinity of x^{-2}e^{2x}

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

derivative of e^{(2x^3-2})

\frac{d}{d x} (e^{(2 x)^{3} - 2})

y^'=((4t^3+1))/(2y-6)

y^{^{'}} = \frac{( 4 t ^{3} + 1 )}{2 y - 6}