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Popular >

derivative of-2sin(2x+2cos(2x))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

derivative of x/(x-8)derivative of

\frac{x}{x - 8}

limit as x approaches 0+of 2xe^{-3x}

x \to 0 + lim (2 x e^{- 3 x})

integral from 0 to 16 of (500x)/(x^2+24)

\int_{0}^{16} \frac{500 x}{x ^{2} + 24} d x

derivative of 5pix^2 derivative of

5 π x^{2}

(\partial)/(\partial x)(40x^{3/4}y^{1/4})

\frac{\partial}{\partial x} (40 x^{\frac{3}{4}} y^{\frac{1}{4}})

Frequently Asked Questions (FAQ)

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