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

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

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

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

\frac{1}{x}

Solution steps

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

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

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

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

\frac{\partial}{\partial x} (4 (y + 3)^{3} (x - 4))

x \to - 8 lim (∣ x ∣)

\frac{d y}{d x} = (sin (5 x))

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

x \to 0 lim (x^{t a n (x)})

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