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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Simplify

- 2 cos (x) sin (x) - 2 cos (x) : - sin (2 x) - 2 cos (x)

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Graph

Popular Examples

limit as x approaches pi of (tan(x))/(sin(2x))

x \to π lim (\frac{tan ( x )}{sin ( 2 x )})

maclaurin 9e^{-x}

ma c l a u r in 9 e^{- x}

integral of 1/((16-x^2)^{3/2)}

\int \frac{1}{( 16 - x ^{2} ) ^{\frac{3}{2}}} d x

derivative of f(x)=3csc(4x)

d er i v a t i v e f (x) = 3 csc (4 x)

xy^'+4y=9x^5+2x^3

x y^{^{'}} + 4 y = 9 x^{5} + 2 x^{3}

Frequently Asked Questions (FAQ)

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