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

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

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

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

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derivative of

2 - cos^{2} (x)

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)

= 0 - (- sin (2 x))

Simplify

= sin (2 x)

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