What is the derivative of 2+cos(2x) ?

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

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

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

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

- 2 sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

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

= 0 - sin (2 x) \cdot 2

Simplify

= - 2 sin (2 x)

x sin (x)

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