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

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

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

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

y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y \cdot 1

Simplify

= y

\frac{d}{d x} (\frac{e ^{x}}{1 + x})

y = 7 cos (x), (\frac{π}{3}, 3.5)

\frac{2}{s ^{2} + 2 s}

\frac{d y}{d t} = \frac{9}{40} - \frac{y}{200}, y (0) = 90

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