derivative of 2e^xsin(x)

Lösung

\frac{d}{d x} (2 e^{x} sin (x))

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

Schritte zur Lösung

\frac{d}{d x} (2 e^{x} sin (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (e^{x} sin (x))

Wende die Produktregel an:

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

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

= 2 (\frac{d}{d x} (e^{x}) sin (x) + \frac{d}{d x} (sin (x)) e^{x})

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

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

= 2 (e^{x} sin (x) + cos (x) e^{x})

ma c l a u r in \frac{1}{( x ^{2} - a ^{2} )}

\frac{\partial}{\partial v} (3 y uxu v^{3} - 2)

\int 5 cos (9 x) d x

\frac{\partial}{\partial z} (yz e^{x})

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