What is (\partial)/(\partial x)(csc^2(x)) ?

The answer to (\partial)/(\partial x)(csc^2(x)) is -2csc^2(x)cot(x)

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(\partial)/(\partial x)(csc^2(x))

\frac{\partial}{\partial x} (csc^{2} (x))

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

Solution steps

\frac{\partial}{\partial x} (csc^{2} (x))

Apply the chain rule:

2 csc (x) \frac{\partial}{\partial x} (csc (x))

= 2 csc (x) \frac{\partial}{\partial x} (csc (x))

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

= 2 csc (x) (- cot (x) csc (x))

Simplify

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

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

n = 0 \sum \infty n \cdot e^{- n^{2}}

y = 4 ln (x)

\int \frac{x ^{2} + 1}{x ^{2}} d x

\int \frac{4}{x - 2} d x

\int 3 (3 x + 4)^{5} d x

What is (\partial)/(\partial x)(csc^2(x)) ?
The answer to (\partial)/(\partial x)(csc^2(x)) is -2csc^2(x)cot(x)