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Beliebt Rechnen >

derivative f(x)=(6x^5)/5-x+3e^x

Lösung

ableitung von

f (x) = \frac{6 x ^{5}}{5} - x + 3 e^{x}

Lösung

6 x^{4} - 1 + 3 e^{x}

Schritte zur Lösung

\frac{d}{d x} (\frac{6 x ^{5}}{5} - x + 3 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{6 x ^{5}}{5}) - \frac{d x}{d x} + \frac{d}{d x} (3 e^{x})

\frac{d}{d x} (\frac{6 x ^{5}}{5}) = 6 x^{4}

\frac{d x}{d x} = 1

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

= 6 x^{4} - 1 + 3 e^{x}

Graph

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