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Popular >

derivative of cos(4x-pi/3)

Solution

\frac{d}{d x} (cos (4 x - \frac{π}{3}))

Solution

- 2 sin (4 x) + 23 cos (4 x)

Solution steps

\frac{d}{d x} (cos (4 x - \frac{π}{3}))

Simplify

cos (4 x - \frac{π}{3}) : \frac{1}{2} cos (4 x) + \frac{3}{2} sin (4 x)

= \frac{d}{d x} (\frac{1}{2} cos (4 x) + \frac{3}{2} sin (4 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{2} cos (4 x)) + \frac{d}{d x} (\frac{3}{2} sin (4 x))

\frac{d}{d x} (\frac{1}{2} cos (4 x)) = - 2 sin (4 x)

\frac{d}{d x} (\frac{3}{2} sin (4 x)) = 23 cos (4 x)

= - 2 sin (4 x) + 23 cos (4 x)

Popular Examples

integral of ln(5x)

\int ln (5 x) d x

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\int x^{2} e^{- \frac{x ^{2}}{2}} d x

limit as x approaches pi/2 of 2e^xcos(x)

x \to \frac{π}{2} lim (2 e^{x} cos (x))

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y = 8 x^{5} + 10 x^{3} - 4

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\frac{d}{d x} (lo g_{e} (\frac{3 + x}{3 - x}))

Frequently Asked Questions (FAQ)

What is the derivative of cos(4x-pi/3) ?
The derivative of cos(4x-pi/3) is -2sin(4x)+2sqrt(3)cos(4x)
What is the first derivative of cos(4x-pi/3) ?
The first derivative of cos(4x-pi/3) is -2sin(4x)+2sqrt(3)cos(4x)