$y =$

The following function will be differentiated:

$y = \sin{\left ( x^{2} \right )}$

The following is the derivative:

$\text{Click "Calculate" to begin.}$

The chain rule is a rule used to differentiate composite functions. It states that $\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}$, where $y$ is a function of $u$ and $u$ is a function of $x$. In other words, the derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.