What is the derivative of cot^2(xpi) ?

The derivative of cot^2(xpi) is -2picsc^2(pix)cot(pix)

What is the first derivative of cot^2(xpi) ?

The first derivative of cot^2(xpi) is -2picsc^2(pix)cot(pix)

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derivative of

cot^{2} (x π)

- 2 π csc^{2} (π x) cot (π x)

Solution steps

\frac{d}{d x} (cot^{2} (x π))

Apply the chain rule:

2 cot (x π) \frac{d}{d x} (cot (x π))

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

\frac{d}{d x} (cot (x π)) = - csc^{2} (x π) π

= 2 cot (x π) (- csc^{2} (x π) π)

Simplify

= - 2 π csc^{2} (π x) cot (π x)

y = 6 cos (x + y)

y^{^{''}} + 4 y = 2 sec (2 x)

\int e^{8 x + 6} d x

y^{^{'}} = \frac{( cos ( 18 x ) )}{( e ^{(18 \cdot y)} )}

x^{2} y^{^{''}} + 3 x y^{^{'}} - 3 y = 0

What is the derivative of cot^2(xpi) ?
The derivative of cot^2(xpi) is -2picsc^2(pix)cot(pix)
What is the first derivative of cot^2(xpi) ?
The first derivative of cot^2(xpi) is -2picsc^2(pix)cot(pix)