What is the derivative of 2cos^2(x)-1 ?

The derivative of 2cos^2(x)-1 is -sin(2x)*2

What is the first derivative of 2cos^2(x)-1 ?

The first derivative of 2cos^2(x)-1 is -sin(2x)*2

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derivative of

2 cos^{2} (x) - 1

- sin (2 x) \cdot 2

Solution steps

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

Simplify

2 cos^{2} (x) - 1 : cos (2 x)

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

Apply the chain rule:

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

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

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

= - sin (2 x) \cdot 2

\frac{1}{2 ^{x}}

(1 + 2 x)^{x}

\frac{( x ^{2} - x + 1 )}{( a ^{3} - 3 )}

\frac{d}{d t} (a^{2} t)

(3^{x})^{2}

What is the derivative of 2cos^2(x)-1 ?
The derivative of 2cos^2(x)-1 is -sin(2x)*2
What is the first derivative of 2cos^2(x)-1 ?
The first derivative of 2cos^2(x)-1 is -sin(2x)*2