What is the derivative of csc(cot(x)) ?

The derivative of csc(cot(x)) is csc^2(x)cot(cot(x))csc(cot(x))

What is the first derivative of csc(cot(x)) ?

The first derivative of csc(cot(x)) is csc^2(x)cot(cot(x))csc(cot(x))

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\frac{d}{d x} (csc (cot (x)))

csc^{2} (x) cot (cot (x)) csc (cot (x))

Solution steps

\frac{d}{d x} (csc (cot (x)))

Apply the chain rule:

- cot (cot (x)) csc (cot (x)) \frac{d}{d x} (cot (x))

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

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

= - cot (cot (x)) csc (cot (x)) (- csc^{2} (x))

Simplify

= csc^{2} (x) cot (cot (x)) csc (cot (x))

x \to 1 + lim (\frac{x + 2}{x - 1})

\frac{\partial}{\partial y} (x^{2} + y^{2} - 2)

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

\frac{d}{d x} (\frac{x}{x ^{2} + a ^{2}})

\int \frac{1}{e ^{3 y}} d y

What is the derivative of csc(cot(x)) ?
The derivative of csc(cot(x)) is csc^2(x)cot(cot(x))csc(cot(x))
What is the first derivative of csc(cot(x)) ?
The first derivative of csc(cot(x)) is csc^2(x)cot(cot(x))csc(cot(x))