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

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

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

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

sin (y - z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= sin (y - z) \cdot 1

Simplify

= sin (y - z)

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

\frac{d}{d y} (\frac{y ^{6}}{6} + \frac{1}{16 y ^{4}})

3 + t^{5} + sin (π t)

\frac{d y}{d x} = \frac{y}{x} - cos (\frac{y}{x})

\int (x^{4} - 6 x) d x

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