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

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

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(\partial)/(\partial y)(xcos(y)sin(z))

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

- x sin (y) sin (z)

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= - x sin (y) sin (z)

x \to \infty lim (\frac{- x}{x})

\int \frac{( 3 x - 5 )}{x ^{2} + 4 x} d x

f (x) = 3 x^{2} - 7

\int e^{x} sinh (x) d x

(- cos (x))^{^{'}}

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