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

The derivative of cos^2(1-2x) is 2sin(2-4x)

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

The first derivative of cos^2(1-2x) is 2sin(2-4x)

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

2 sin (2 - 4 x)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cos (1 - 2 x) \cdot 2 sin (1 - 2 x)

Simplify

2 cos (1 - 2 x) \cdot 2 sin (1 - 2 x) : 2 sin (2 - 4 x)

= 2 sin (2 - 4 x)

What is the derivative of cos^2(1-2x) ?
The derivative of cos^2(1-2x) is 2sin(2-4x)
What is the first derivative of cos^2(1-2x) ?
The first derivative of cos^2(1-2x) is 2sin(2-4x)