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)

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

- 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)

\int \frac{1}{( x - 2 ) ^{4}} d x

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

\frac{d}{d x} (x + y + z)

\frac{d}{d x} (e^{x} + e^{x})

\frac{\partial}{\partial y} (sin (x) cos (x))

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)