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Beliebt Rechnen >

derivative of e^{3xsin(2x})

Lösung

\frac{d}{d x} (e^{3 x s i n (2 x)})

Lösung

e^{3 x s i n (2 x)} \cdot 3 (sin (2 x) + 2 x cos (2 x))

Schritte zur Lösung

\frac{d}{d x} (e^{3 x s i n (2 x)})

Wende die Kettenregel an:

e^{3 x s i n (2 x)} \frac{d}{d x} (3 x sin (2 x))

= e^{3 x s i n (2 x)} \frac{d}{d x} (3 x sin (2 x))

\frac{d}{d x} (3 x sin (2 x)) = 3 (sin (2 x) + 2 x cos (2 x))

= e^{3 x s i n (2 x)} \cdot 3 (sin (2 x) + 2 x cos (2 x))

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x/(1+x^2y^2))

\frac{\partial}{\partial x} (\frac{x}{1 + x ^{2} y ^{2}})

integral of x(x+7)^6

\int x (x + 7)^{6} d x

derivative of (x^2-5x+3/(sqrt(x)))

\frac{d}{d x} (\frac{x ^{2} - 5 x + 3}{x})

derivative of 4x^2+5x+3

\frac{d}{d x} (4 x^{2} + 5 x + 3)

integral of (4y)/x

\int \frac{4 y}{x} d x