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Beliebt Rechnen >

derivative of x^{10}e^{x+1}

Lösung

\frac{d}{d x} (x^{10} e^{x + 1})

Lösung

10 x^{9} e^{x + 1} + e^{x + 1} x^{10}

Schritte zur Lösung

\frac{d}{d x} (x^{10} e^{x + 1})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{10}, g = e^{x + 1}

= \frac{d}{d x} (x^{10}) e^{x + 1} + \frac{d}{d x} (e^{x + 1}) x^{10}

\frac{d}{d x} (x^{10}) = 10 x^{9}

\frac{d}{d x} (e^{x + 1}) = e^{x + 1}

= 10 x^{9} e^{x + 1} + e^{x + 1} x^{10}

Graph

Beliebte Beispiele

(dy)/(dt)=y(1-y),y(0)=16

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\int \frac{t ^{2} - 1}{t ^{4} - 1} d t

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