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Beliebt Rechnen >

derivative of e^{6xsin(2x})

Lösung

\frac{d}{d x} (e^{6 x s i n (2 x)})

Lösung

e^{6 x s i n (2 x)} \cdot 6 (sin (2 x) + 2 x cos (2 x))

Schritte zur Lösung

\frac{d}{d x} (e^{6 x s i n (2 x)})

Wende die Kettenregel an:

e^{6 x s i n (2 x)} \frac{d}{d x} (6 x sin (2 x))

= e^{6 x s i n (2 x)} \frac{d}{d x} (6 x sin (2 x))

\frac{d}{d x} (6 x sin (2 x)) = 6 (sin (2 x) + 2 x cos (2 x))

= e^{6 x s i n (2 x)} \cdot 6 (sin (2 x) + 2 x cos (2 x))

Graph

Beliebte Beispiele

(\partial)/(\partial x)((3x-2x^2)3)

\frac{\partial}{\partial x} ((3 x - 2 x^{2}) 3)

integral of ((2x)/(x^2+1))

\int (\frac{2 x}{x ^{2} + 1}) d x

integral of 3cos^2(x)tan^3(x)

\int 3 cos^{2} (x) tan^{3} (x) d x

derivative of ln(4x^6+2x^3)

\frac{d}{d x} (ln (4 x^{6} + 2 x^{3}))

sum from n=0 to infinity of n*2^{-n}

n = 0 \sum \infty n \cdot 2^{- n}