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

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

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

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

\frac{1}{2 x + 4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{1}{2 s ^{3} + 6 s ^{2} + 4 s}

\int x (x) d x

y = (3 x + 4)^{5} + 15 x (3 x + 4)^{4}

\int - e^{4 x} d x

n = 1 \sum \infty \frac{n}{csc ( \frac{1}{n} )}

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