What is (\partial)/(\partial x)(cos(x)sin(y)) ?

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

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(\partial)/(\partial x)(cos(x)sin(y))

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

- sin (x) sin (y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= sin (y) (- sin (x))

Simplify

= - sin (x) sin (y)

\frac{d}{d x} ((3 x)^{\frac{1}{3}})

x^{2}, 2 x - x^{2}

\frac{1}{s - a}

x \to i lim (x - i)

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

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