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Beliebt Rechnen >

derivative of sin(2x-pi/3)

Lösung

\frac{d}{d x} (sin (2 x - \frac{π}{3}))

Lösung

cos (2 x) + 3 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (sin (2 x - \frac{π}{3}))

Vereinfache

sin (2 x - \frac{π}{3}) : \frac{1}{2} sin (2 x) - \frac{3}{2} cos (2 x)

= \frac{d}{d x} (\frac{1}{2} sin (2 x) - \frac{3}{2} cos (2 x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{1}{2} sin (2 x)) - \frac{d}{d x} (\frac{3}{2} cos (2 x))

\frac{d}{d x} (\frac{1}{2} sin (2 x)) = cos (2 x)

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

= cos (2 x) - (- 3 sin (2 x))

Vereinfache

= cos (2 x) + 3 sin (2 x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^3+y^2-yx^2-xy)

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

d/(dt)(5e^tcos(t))

\frac{d}{d t} (5 e^{t} cos (t))

derivative f(x)=cos(5x)

d er i v a t i v e f (x) = cos (5 x)

12x^3-3ysqrt(x^4+1)y^'=0

12 x^{3} - 3 y x^{4} + 1 y^{^{'}} = 0

integral of (e^u)/u

\int \frac{e ^{u}}{u} d u