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

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

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

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

cos (y) sin (z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= cos (y) sin (z) \cdot 1

Simplify

= cos (y) sin (z)

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