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

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

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

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

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derivative of

cot^{2} (π x)

- 2 π csc^{2} (π x) cot (π x)

Solution steps

\frac{d}{d x} (cot^{2} (π x))

Apply the chain rule:

2 cot (π x) \frac{d}{d x} (cot (π x))

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

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

= 2 cot (π x) (- csc^{2} (π x) π)

Simplify

= - 2 π csc^{2} (π x) cot (π x)

8 (2 z e^{z} + e^{z} z^{2})

\frac{d y}{d x} = - 4 x y^{2}

x \to - 3 lim (x + 1)

x + 2, \frac{1}{x + 1}, x = 2

x \to 0 lim (\frac{e ^{x}}{x})

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