What is the derivative of sin(2x-pi/3) ?

The derivative of sin(2x-pi/3) is cos(2x)+sqrt(3)sin(2x)

What is the first derivative of sin(2x-pi/3) ?

The first derivative of sin(2x-pi/3) is cos(2x)+sqrt(3)sin(2x)

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

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

Solution steps

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

Simplify

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))

Apply the Sum/Difference Rule:

(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))

Simplify

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

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

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

f (x) = cos (5 x)

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

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

What is the derivative of sin(2x-pi/3) ?
The derivative of sin(2x-pi/3) is cos(2x)+sqrt(3)sin(2x)
What is the first derivative of sin(2x-pi/3) ?
The first derivative of sin(2x-pi/3) is cos(2x)+sqrt(3)sin(2x)