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Beliebt Rechnen >

derivative of e^xsin(6x)

Lösung

\frac{d}{d x} (e^{x} sin (6 x))

Lösung

e^{x} sin (6 x) + cos (6 x) \cdot 6 e^{x}

Schritte zur Lösung

\frac{d}{d x} (e^{x} sin (6 x))

Wende die Produktregel an:

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

f = e^{x}, g = sin (6 x)

= \frac{d}{d x} (e^{x}) sin (6 x) + \frac{d}{d x} (sin (6 x)) e^{x}

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

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= e^{x} sin (6 x) + cos (6 x) \cdot 6 e^{x}

Graph

Beliebte Beispiele

integral of x^2sqrt(x+3)

\int x^{2} x + 3 d x

t a y l or cos (2 x)

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

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

derivative of 7/(x^4)

\frac{d}{d x} (\frac{7}{x ^{4}})

x^2y^{''}-11xy^'+36y=0

x^{2} y^{^{''}} - 11 x y^{^{'}} + 36 y = 0