Product Rule for Derivatives/Examples/x squared times Arctangent of x

Examples of Use of Product Rule for Derivatives

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

Proof
Let $u = x^2$.

Let $v = \arctan x$.

Thus we have:
 * $y = u v$

and so: