What is the derivative of 2cos(x-sin(2x)) ?

The derivative of 2cos(x-sin(2x)) is -2sin(x)-cos(2x)*2

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

The first derivative of 2cos(x-sin(2x)) is -2sin(x)-cos(2x)*2

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

y^{^{'}} = \frac{x}{200} - \frac{y}{100}

\frac{d}{d x} (\frac{1}{3} x^{3} - \frac{5}{2} x^{2} + 6 x + 1)

\int - \frac{1}{x} \cdot \frac{1}{x} d x

f (x) = x - 1

\int θ sec (θ) tan (θ) d θ

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