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

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

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

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

\frac{1}{x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (4 y) = 0

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

y^{^{'}} - \frac{2 y}{x} = x^{2}

y = 7 e^{x}, y = 7 e^{- x}, x = 1

y^{^{'}} = e^{4 x + 3 y}

n = 0 \sum \infty 3^{n}

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

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