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Beliebt Rechnen >

derivative e^{4xsin(2x)}

Lösung

ableitung von

e^{4 x s i n (2 x)}

Lösung

e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

Schritte zur Lösung

\frac{d}{d x} (e^{4 x s i n (2 x)})

Wende die Kettenregel an:

e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

= e^{4 x s i n (2 x)} \frac{d}{d x} (4 x sin (2 x))

\frac{d}{d x} (4 x sin (2 x)) = 4 (sin (2 x) + 2 x cos (2 x))

= e^{4 x s i n (2 x)} \cdot 4 (sin (2 x) + 2 x cos (2 x))

Graph

Beliebte Beispiele

derivative f(x)=x^3+5x

d er i v a t i v e f (x) = x^{3} + 5 x

(\partial)/(\partial x)(4e^{4xy})

\frac{\partial}{\partial x} (4 e^{4 x y})

laplacetransform te^t

l a pl a ce t r an s f or m t e^{t}

derivative of e^{x^4}+7x

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

normal f(x)=sqrt(x^2+16),\at x=3

n or ma l f (x) = x^{2} + 16, at x = 3