What is the (sqrt(x+1))^' ?

The (sqrt(x+1))^' is 1/(2sqrt(x+1))

What is the first (sqrt(x+1))^' ?

The first (sqrt(x+1))^' is 1/(2sqrt(x+1))

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(x + 1)^{^{'}}

\frac{1}{2 x + 1}

Solution steps

(x + 1)^{'}

Apply the chain rule:

\frac{1}{2 x + 1} (x + 1)^{'}

= \frac{1}{2 x + 1} (x + 1)^{'}

(x + 1)^{'} = 1

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

Simplify

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

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