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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{2 s i n (3 x)} \cdot 6 cos (3 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 sin (3 x)) = 6 cos (3 x)

= e^{2 s i n (3 x)} \cdot 6 cos (3 x)

Graph

Beliebte Beispiele

f(x)=(sin(x)-cos(x))/(sin(x)+cos(x))

f (x) = \frac{sin ( x ) - cos ( x )}{sin ( x ) + cos ( x )}

derivative t^3-12t^2+36t

d er i v a t i v e t^{3} - 12 t^{2} + 36 t

derivative 18cos(x)+9sin^2(x)

d er i v a t i v e 18 cos (x) + 9 sin^{2} (x)

(d^2y)/(dx^2)-5(dy)/(dx)+6y=0

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = 0

(dy}{dx}=\frac{x^2)/9+7/9

\frac{d y}{d x} = \frac{x ^{2}}{9} + \frac{7}{9}