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

The answer to (\partial)/(\partial x)(xsqrt(y-z)) is sqrt(y-z)

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

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

y - z

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= y - z \cdot 1

Simplify

= y - z

f (x) = \frac{x ^{2} + 6}{9 x - 2}

\frac{\partial}{\partial x} (t^{2})

\int \frac{x ^{2}}{4 - x ^{2}} d x

\int (x^{2} + x^{3}) d x

\frac{d x}{d t} = 2 x - x^{2}

What is (\partial)/(\partial x)(xsqrt(y-z)) ?
The answer to (\partial)/(\partial x)(xsqrt(y-z)) is sqrt(y-z)