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Popular >

derivative of cos(2x-2xsin(2x))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (2 x) \cdot 2 - 2 (sin (2 x) + 2 x cos (2 x))

Simplify

- sin (2 x) \cdot 2 - 2 (sin (2 x) + 2 x cos (2 x)) : - 4 sin (2 x) - 4 x cos (2 x)

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

Graph

Popular Examples

integral of (22x+88)/(2x^2+9x-5)

\int \frac{22 x + 88}{2 x ^{2} + 9 x - 5} d x

integral of u^{-3/2}

\int u^{- \frac{3}{2}} d u

derivative of y=csc^2(x)derivative of

y = csc^{2} (x)

(\partial)/(\partial u)((u+2v)(u-2v)+(u-2v)(uv)+(u+2v)(uv))

\frac{\partial}{\partial u} ((u + 2 v) (u - 2 v) + (u - 2 v) (uv) + (u + 2 v) (uv))

integral of x(x+5)

\int x (x + 5) d x

Frequently Asked Questions (FAQ)

What is the derivative of cos(2x-2xsin(2x)) ?
The derivative of cos(2x-2xsin(2x)) is -4sin(2x)-4xcos(2x)
What is the first derivative of cos(2x-2xsin(2x)) ?
The first derivative of cos(2x-2xsin(2x)) is -4sin(2x)-4xcos(2x)