# How do you find the derivative of sin3x^2?

Jun 10, 2016

With the chain rule.

#### Explanation:

I encourage who writes about mathematics to use always parenthesis to avoid confusion.

Is your expression $\sin \left(3 {x}^{2}\right)$ or $\sin {\left(3 x\right)}^{2}$?
I assume it is the first. Then you calculate it applying the chain rule.

$\frac{d}{\mathrm{dx}} \sin \left(3 {x}^{2}\right) = \cos \left(3 {x}^{2}\right) \frac{d}{\mathrm{dx}} \left(3 {x}^{2}\right)$

$= \cos \left(3 {x}^{2}\right) 6 x$.