What is (\partial)/(\partial x)(20sqrt(xy)) ?

The answer to (\partial)/(\partial x)(20sqrt(xy)) is (10sqrt(y))/(sqrt(x))

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(\partial)/(\partial x)(20sqrt(xy))

\frac{\partial}{\partial x} (20 x y)

\frac{10 y}{x}

Solution steps

\frac{\partial}{\partial x} (20 x y)

Treat

y

as a constant

Take the constant out:

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

= 20 \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

= 20 \cdot \frac{1}{2 x y} y

Simplify

20 \cdot \frac{1}{2 x y} y : \frac{10 y}{x}

= \frac{10 y}{x}

\int_{0}^{2} \frac{1}{4 + t ^{2}} d t

(34) (3 - 4)

\frac{d}{d x} (x^{2} + x y + y^{3})

cos (x)

\int_{1}^{3} x + 2 d x

What is (\partial)/(\partial x)(20sqrt(xy)) ?
The answer to (\partial)/(\partial x)(20sqrt(xy)) is (10sqrt(y))/(sqrt(x))