Finding the derivative of a function using the chain rule.

I am currently studying differential calculus and need help applying the chain rule. Specifically, I am struggling to differentiate the composite function f(x) = sin(3x^2 + 5) . Could you please provide a step-by-step breakdown of how to identify the inner and outer functions, and explain how the chain rule formula frac{dy}{dx} = frac{dy}{du} cdot frac{du}{dx} is applied to reach the final derivative?