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Beliebt Rechnen >

derivative of e^{xsin(3x})

Lösung

\frac{d}{d x} (e^{x s i n (3 x)})

Lösung

e^{x s i n (3 x)} (sin (3 x) + 3 x cos (3 x))

Schritte zur Lösung

\frac{d}{d x} (e^{x s i n (3 x)})

Wende die Kettenregel an:

e^{x s i n (3 x)} \frac{d}{d x} (x sin (3 x))

= e^{x s i n (3 x)} \frac{d}{d x} (x sin (3 x))

\frac{d}{d x} (x sin (3 x)) = sin (3 x) + 3 x cos (3 x)

= e^{x s i n (3 x)} (sin (3 x) + 3 x cos (3 x))

Graph

Beliebte Beispiele

integral from 0 to 5 of (2t)/((t-6)^2)

\int_{0}^{5} \frac{2 t}{( t - 6 ) ^{2}} d t

integral of (x+2)/(x^2+6x+10)

\int \frac{x + 2}{x ^{2} + 6 x + 10} d x

xy^'+3y=((e^x))/x

x y^{^{'}} + 3 y = \frac{( e ^{x} )}{x}

(\partial)/(\partial y)(5xsin(y))

\frac{\partial}{\partial y} (5 x sin (y))

inverselaplace 3x^2

in v erse l a pl a ce 3 x^{2}