What is the derivative of sqrt(x+11) ?

The derivative of sqrt(x+11) is 1/(2sqrt(x+11))

What is the first derivative of sqrt(x+11) ?

The first derivative of sqrt(x+11) is 1/(2sqrt(x+11))

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derivative of

x + 11

\frac{1}{2 x + 11}

Solution steps

\frac{d}{d x} (x + 11)

Apply the chain rule:

\frac{1}{2 x + 11} \frac{d}{d x} (x + 11)

= \frac{1}{2 x + 11} \frac{d}{d x} (x + 11)

\frac{d}{d x} (x + 11) = 1

= \frac{1}{2 x + 11} \cdot 1

Simplify

= \frac{1}{2 x + 11}

What is the derivative of sqrt(x+11) ?
The derivative of sqrt(x+11) is 1/(2sqrt(x+11))
What is the first derivative of sqrt(x+11) ?
The first derivative of sqrt(x+11) is 1/(2sqrt(x+11))