NIMCET 2010 — Mathematics PYQ

1. Let $u$ and $v$ be the functions:

$u=\sin x^2$

$v=2x^2$

2. Differentiate $u$ with respect to $x$:

Using the chain rule:

3. Differentiate $v$ with respect to $x$:

4. Find $\frac{du}{dv}$:

Correct Option:

(d) $\frac{1}{2}\cos x^2$