What is the derivative of sqrt(5+x) ?

The derivative of sqrt(5+x) is 1/(2sqrt(5+x))

What is the first derivative of sqrt(5+x) ?

The first derivative of sqrt(5+x) is 1/(2sqrt(5+x))

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derivative of

5 + x

\frac{1}{2 5 + x}

Solution steps

\frac{d}{d x} (5 + x)

Apply the chain rule:

\frac{1}{2 5 + x} \frac{d}{d x} (5 + x)

= \frac{1}{2 5 + x} \frac{d}{d x} (5 + x)

\frac{d}{d x} (5 + x) = 1

= \frac{1}{2 5 + x} \cdot 1

Simplify

= \frac{1}{2 5 + x}

\int \frac{3}{4 x ^{2} - 9} d x

\int 2 x e^{3 x} d x

\frac{d}{d x} (cos^{2} (2 x - 1))

f (t) = t^{5}

x \to 1 lim (\frac{x ^{2} - 1}{x})

What is the derivative of sqrt(5+x) ?
The derivative of sqrt(5+x) is 1/(2sqrt(5+x))
What is the first derivative of sqrt(5+x) ?
The first derivative of sqrt(5+x) is 1/(2sqrt(5+x))