What is the derivative of cos^2(2pix) ?

The derivative of cos^2(2pix) is -4picos(2pix)sin(2pix)

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

The first derivative of cos^2(2pix) is -4picos(2pix)sin(2pix)

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derivative of

cos^{2} (2 π x)

- 4 π cos (2 π x) sin (2 π x)

Solution steps

\frac{d}{d x} (cos^{2} (2 π x))

Apply the chain rule:

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

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

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

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

Simplify

= - 4 π cos (2 π x) sin (2 π x)

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