derivative e^x-x^5

Lösung

ableitung von

e^{x} - x^{5}

e^{x} - 5 x^{4}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x} - 5 x^{4}

n = 1 \sum \infty 2^{n} \frac{1}{n ^{2}}

\int \frac{x ^{2}}{144 - x ^{2}} d x

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