What is the derivative of cos^2(4pix) ?

The derivative of cos^2(4pix) is -8picos(4pix)sin(4pix)

What is the first derivative of cos^2(4pix) ?

The first derivative of cos^2(4pix) is -8picos(4pix)sin(4pix)

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\frac{d}{d x} (cos^{2} (4 π x))

- 8 π cos (4 π x) sin (4 π x)

Solution steps

\frac{d}{d x} (cos^{2} (4 π x))

Apply the chain rule:

2 cos (4 π x) \frac{d}{d x} (cos (4 π x))

= 2 cos (4 π x) \frac{d}{d x} (cos (4 π x))

\frac{d}{d x} (cos (4 π x)) = - sin (4 π x) \cdot 4 π

= 2 cos (4 π x) (- sin (4 π x) \cdot 4 π)

Simplify

= - 8 π cos (4 π x) sin (4 π x)

f (x) = x^{2} + 2

\frac{d y}{d t} = y (8 - y), y (0) = 9

\int sec^{2} (2 x) tan^{2} (2 x) d x

n = 0 \sum \infty \frac{9 ^{n}}{n !}

\frac{d}{d x} (3 x^{2} - 5)

What is the derivative of cos^2(4pix) ?
The derivative of cos^2(4pix) is -8picos(4pix)sin(4pix)
What is the first derivative of cos^2(4pix) ?
The first derivative of cos^2(4pix) is -8picos(4pix)sin(4pix)