What is (\partial)/(\partial x)(sqrt(3+x)) ?

The answer to (\partial)/(\partial x)(sqrt(3+x)) is 1/(2sqrt(3+x))

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(\partial)/(\partial x)(sqrt(3+x))

\frac{\partial}{\partial x} (3 + x)

\frac{1}{2 3 + x}

Solution steps

\frac{\partial}{\partial x} (3 + x)

Apply the chain rule:

\frac{1}{2 3 + x} \frac{\partial}{\partial x} (3 + x)

= \frac{1}{2 3 + x} \frac{\partial}{\partial x} (3 + x)

\frac{\partial}{\partial x} (3 + x) = 1

= \frac{1}{2 3 + x} \cdot 1

Simplify

= \frac{1}{2 3 + x}

y = e^{x}, at x = ln (2)

x \to 1 lim (5 - x)

f (x) = 3 cos^{2} (x)

\int (2 sin (x) - 3 cos (x))^{2} d x

\frac{d}{d x} ((x)^{3 x})

What is (\partial)/(\partial x)(sqrt(3+x)) ?
The answer to (\partial)/(\partial x)(sqrt(3+x)) is 1/(2sqrt(3+x))