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Beliebt Rechnen >

derivative of x^9e^{9x}

Lösung

\frac{d}{d x} (x^{9} e^{9 x})

Lösung

9 x^{8} e^{9 x} + e^{9 x} \cdot 9 x^{9}

Schritte zur Lösung

\frac{d}{d x} (x^{9} e^{9 x})

Wende die Produktregel an:

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

f = x^{9}, g = e^{9 x}

= \frac{d}{d x} (x^{9}) e^{9 x} + \frac{d}{d x} (e^{9 x}) x^{9}

\frac{d}{d x} (x^{9}) = 9 x^{8}

\frac{d}{d x} (e^{9 x}) = e^{9 x} \cdot 9

= 9 x^{8} e^{9 x} + e^{9 x} \cdot 9 x^{9}

Graph

Beliebte Beispiele

integral from-4 to 4 of 1/(16+x^2)

\int_{- 4}^{4} \frac{1}{16 + x ^{2}} d x

derivative of-8cos^3(x)

\frac{d}{d x} (- 8 cos^{3} (x))

integral of 1-x^2-3x^5

\int 1 - x^{2} - 3 x^{5} d x

derivative sqrt(x^2-5x)

d er i v a t i v e x^{2} - 5 x

inverselaplace (5s)/((s+7)(s^2+4))

in v erse l a pl a ce \frac{5 s}{( s + 7 ) ( s ^{2} + 4 )}