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

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

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

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

cos (y) cos (x)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (y) cos (x)

x \to 1 lim (x (\frac{10}{x - 1}))

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

\frac{d}{d y} (e^{- x} cos (y))

x \to 6 + lim (ln (7 - x))

y^{^{'}} = 10 - y

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