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

The derivative of cos^2(pix) is -pisin(2pix)

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

The first derivative of cos^2(pix) is -pisin(2pix)

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\frac{d}{d x} (cos^{2} (π x))

- π sin (2 π x)

Solution steps

\frac{d}{d x} (cos^{2} (π x))

Apply the chain rule:

2 cos (π x) \frac{d}{d x} (cos (π x))

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

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

= 2 cos (π x) (- sin (π x) π)

Simplify

2 cos (π x) (- sin (π x) π) : - π sin (2 π x)

= - π sin (2 π x)

\int_{0}^{1} - \frac{5 y}{e ^{2 y}} d y

a re a - x^{3} + x, x = - 1, y = - \frac{1}{2}

\frac{d y}{d t} = - \frac{y}{t} - 7

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

\frac{\partial}{\partial x} (z \cdot lo g_{e} (x^{2} + y^{2}))

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