Derivative of Composite Function/Examples/Root of x^2 + 1

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\sqrt {x^2 + 1} } = \dfrac x {\sqrt {x^2 + 1} }$

Proof
Let $u = x^2 + 1$.

Let $y = u^{1/2}$.

Thus we have:
 * $y = \sqrt {x^2 + 1}$

and so: