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

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

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

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

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derivative of

y = 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)

y^{^{'}} + 3 y = 0

\int \frac{1 - cos ^{2} ( x )}{sin ^{2} ( x )} d x

\frac{d y}{d x} = \frac{( x - 3 )}{y + 5}

(6^{x})^{5}

x \to 0 lim (e^{- 5 x})

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