What is the derivative of sqrt(x+16) ?

The derivative of sqrt(x+16) is 1/(2sqrt(x+16))

What is the first derivative of sqrt(x+16) ?

The first derivative of sqrt(x+16) is 1/(2sqrt(x+16))

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derivative of

x + 16

\frac{1}{2 x + 16}

Solution steps

\frac{d}{d x} (x + 16)

Apply the chain rule:

\frac{1}{2 x + 16} \frac{d}{d x} (x + 16)

= \frac{1}{2 x + 16} \frac{d}{d x} (x + 16)

\frac{d}{d x} (x + 16) = 1

= \frac{1}{2 x + 16} \cdot 1

Simplify

= \frac{1}{2 x + 16}

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What is the derivative of sqrt(x+16) ?
The derivative of sqrt(x+16) is 1/(2sqrt(x+16))
What is the first derivative of sqrt(x+16) ?
The first derivative of sqrt(x+16) is 1/(2sqrt(x+16))