What is (\partial)/(\partial x)(sqrt(2x+4y)) ?

The answer to (\partial)/(\partial x)(sqrt(2x+4y)) is 1/(sqrt(2x+4y))

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(\partial)/(\partial x)(sqrt(2x+4y))

\frac{\partial}{\partial x} (2 x + 4 y)

\frac{1}{2 x + 4 y}

Solution steps

\frac{\partial}{\partial x} (2 x + 4 y)

Treat

y

as a constant

Apply the chain rule:

\frac{1}{2 2 x + 4 y} \frac{\partial}{\partial x} (2 x + 4 y)

= \frac{1}{2 2 x + 4 y} \frac{\partial}{\partial x} (2 x + 4 y)

\frac{\partial}{\partial x} (2 x + 4 y) = 2

= \frac{1}{2 2 x + 4 y} \cdot 2

Simplify

\frac{1}{2 2 x + 4 y} \cdot 2 : \frac{1}{2 x + 4 y}

= \frac{1}{2 x + 4 y}

\frac{d}{d x} (2 x \cdot e^{x})

\int \frac{1}{4 sin ( x )} d x

x \to 0 lim (lo g_{\frac{2}{3}} (x))

\frac{\partial}{\partial x} (5 e^{x y + 6})

y^{^{''}} + 2 y^{^{'}} + y = 6 e^{- t}

What is (\partial)/(\partial x)(sqrt(2x+4y)) ?
The answer to (\partial)/(\partial x)(sqrt(2x+4y)) is 1/(sqrt(2x+4y))