What is (\partial)/(\partial x)(5sqrt(2x)+2y) ?

The answer to (\partial)/(\partial x)(5sqrt(2x)+2y) is 5/(sqrt(2)\sqrt{x)}

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(\partial)/(\partial x)(5sqrt(2x)+2y)

\frac{\partial}{\partial x} (5 2 x + 2 y)

\frac{5}{2 x}

Solution steps

\frac{\partial}{\partial x} (5 2 x + 2 y)

Simplify

5 2 x + 2 y : 52 x + 2 y

= \frac{\partial}{\partial x} (52 x + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (52 x) + \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (52 x) = \frac{5}{2 x}

\frac{\partial}{\partial x} (2 y) = 0

= \frac{5}{2 x} + 0

Simplify

= \frac{5}{2 x}

\frac{d}{d x} y = (5 - x)^{63}

y = 3 x^{3} - x^{2} + 4, (2, 24)

h \to + 0 lim (\frac{8 ^{h} - 1}{h})

\frac{x ^{2} e ^{x}}{x ^{2} + e ^{x}}

y^{^{''}} + 25 y = 0

What is (\partial)/(\partial x)(5sqrt(2x)+2y) ?
The answer to (\partial)/(\partial x)(5sqrt(2x)+2y) is 5/(sqrt(2)\sqrt{x)}