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

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

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

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

- x cos (x) sin (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= - x cos (x) sin (y)

\int \frac{x}{( x ^{2} - 3 ) ^{5}} d x

14 x^{- 3} + x^{2} + 14

\frac{d}{d x} ((2 x + 1)^{3} (x - 3)^{4})

\int \frac{tan ( ln ( x ^{2} ) )}{4 x} d x

7 e^{t}

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