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Beliebt Rechnen >

derivative y=2sin(x)cos(x)

Lösung

ableitung von

y = 2 sin (x) cos (x)

Lösung

cos (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (2 sin (x) cos (x))

Vereinfache

2 sin (x) cos (x) : sin (2 x)

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

Wende die Kettenregel an:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= cos (2 x) \cdot 2

Graph

Beliebte Beispiele

integral of 2tan^2(x)+tan^4(x)

\int 2 tan^{2} (x) + tan^{4} (x) d x

integral of x/(3x+1)

\int \frac{x}{3 x + 1} d x

integral of (tan(θ))/(sec(θ))

\int \frac{tan ( θ )}{sec ( θ )} d θ

integral of xcos(pinx)

\int x cos (πn x) d x

limit as x approaches 0 of (3x^2)/(x^2)

x \to 0 lim (\frac{3 x ^{2}}{x ^{2}})