What is (\partial)/(\partial x)(cot(xy)) ?

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

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(\partial)/(\partial x)(cot(xy))

\frac{\partial}{\partial x} (cot (x y))

- csc^{2} (x y) y

Solution steps

\frac{\partial}{\partial x} (cot (x y))

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x y) = y

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

\frac{1}{( 1 - x )}, 2

\int \frac{x ^{2} - 19}{x ^{3} - 2 x ^{2} + x} d x

\int 0.2 x d x

\frac{d x}{d t} = \frac{7 x ^{2} + 3 t 8 t ^{2} + x ^{2}}{7 t x}

\int t \cdot ln (t) d t

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