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

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

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(\partial)/(\partial x)(xsin(y)cos(z))

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

sin (y) cos (z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= sin (y) cos (z)

y = cos (sin (x^{2}))

x \to 0 + lim (ln (x) \cdot 0)

\int \frac{x}{x - 8} d x

y^{^{''}} - 2 y^{^{'}} + 9 y = 0

\frac{\partial}{\partial x} (e^{x y} + \frac{y}{x})

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