What is (\partial)/(\partial x)(insqrt(xy)) ?

The answer to (\partial)/(\partial x)(insqrt(xy)) is (insqrt(y))/(2sqrt(x))

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(\partial)/(\partial x)(insqrt(xy))

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

\frac{in y}{2 x}

Solution steps

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

Treat

i, n, y

as a constant

Take the constant out:

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

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

Apply the chain rule:

\frac{1}{2 x y} \frac{\partial}{\partial x} (x y)

= \frac{1}{2 x y} \frac{\partial}{\partial x} (x y)

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

= in \frac{1}{2 x y} y

Simplify

in \frac{1}{2 x y} y : \frac{in y}{2 x}

= \frac{in y}{2 x}

y^{^{'}} (t) = (y - 1) (y + 1), y (0) = 3

x \to 14 lim (7 - tan (7))

\int sin (1 - 3 x) d x

\int \frac{1}{9 x ^{6}} d x

\int \frac{5 x ^{3} - 6 x + 4}{x ^{3} - x ^{2}} d x

What is (\partial)/(\partial x)(insqrt(xy)) ?
The answer to (\partial)/(\partial x)(insqrt(xy)) is (insqrt(y))/(2sqrt(x))