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Beliebt Rechnen >

(e^xsin(x))^'

Lösung

(e^{x} sin (x))^{^{'}}

Lösung

e^{x} sin (x) + cos (x) e^{x}

Schritte zur Lösung

(e^{x} sin (x))^{'}

Wende die Produktregel an:

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

f = e^{x}, g = sin (x)

= (e^{x})^{^{'}} sin (x) + (sin (x))^{^{'}} e^{x}

(e^{x})^{'} = e^{x}

(sin (x))^{'} = cos (x)

= e^{x} sin (x) + cos (x) e^{x}

Graph

Beliebte Beispiele

integral of 13x^2

\int 13 x^{2} d x

derivative (x^2-5x+8)(3x^2-2)

d er i v a t i v e (x^{2} - 5 x + 8) (3 x^{2} - 2)

inverselaplace 1/(s^5)

in v erse l a pl a ce \frac{1}{s ^{5}}

fläche y=0.7(x+0.2)^3+4,1,-0.1

a re a y = 0.7 (x + 0.2)^{3} + 4, 1, - 0.1

derivative of ln((9+e^x/(9-e^x)))

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