What is (\partial)/(\partial x)(xsqrt(v-w)) ?

The answer to (\partial)/(\partial x)(xsqrt(v-w)) is sqrt(v-w)

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(\partial)/(\partial x)(xsqrt(v-w))

\frac{\partial}{\partial x} (x v - w)

v - w

Solution steps

\frac{\partial}{\partial x} (x v - w)

Treat

v, w

as constants

Take the constant out:

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

= v - w \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= v - w \cdot 1

Simplify

= v - w

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What is (\partial)/(\partial x)(xsqrt(v-w)) ?
The answer to (\partial)/(\partial x)(xsqrt(v-w)) is sqrt(v-w)