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

The answer to (\partial)/(\partial x)(cos(xy)) is -sin(xy)y

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(\partial)/(\partial x)(cos(xy))

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

- sin (x y) y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

- sin (x y) \frac{\partial}{\partial x} (x y)

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

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

= - sin (x y) y

\frac{d}{d x} (\frac{tan ( x )}{1 + cos ( x )})

\int_{2}^{3} \frac{36}{3 - x} d x

n = 1 \sum \infty \frac{1}{3 n}

x \to - 5 + lim (8)

5 x^{3} - 4 x^{2} + 7 x - 8, at x = 1

What is (\partial)/(\partial x)(cos(xy)) ?
The answer to (\partial)/(\partial x)(cos(xy)) is -sin(xy)y