What is (\partial)/(\partial x)(7xsin(y-z)) ?

The answer to (\partial)/(\partial x)(7xsin(y-z)) is 7sin(y-z)

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(\partial)/(\partial x)(7xsin(y-z))

\frac{\partial}{\partial x} (7 x sin (y - z))

7 sin (y - z)

Solution steps

\frac{\partial}{\partial x} (7 x sin (y - z))

Treat

y, z

as constants

Take the constant out:

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

= 7 sin (y - z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 7 sin (y - z) \cdot 1

Simplify

= 7 sin (y - z)

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What is (\partial)/(\partial x)(7xsin(y-z)) ?
The answer to (\partial)/(\partial x)(7xsin(y-z)) is 7sin(y-z)