Sure! Let's take a look at the function f(x) = sin(3x^2 + 2).

In this case, g(x) = sin(x) and h(x) = 3x^2 + 2. Using the chain rule, we can find the derivative of f(x) as follows:

f'(x) = g'(h(x)) * h'(x)
= cos(3x^2 + 2) * (6x)

So the derivative of f(x) is f'(x) = 6x cos(3x^2 + 2).

Here, we first find the derivative of the outer function g(x) evaluated at h(x), which is cos(3x^2 + 2). Then, we multiply that by the derivative of the inner function h(x) with respect to x, which is 6x. Finally, we get the derivative of f(x) by multiplying these two results.

I hope this example helps you better understand how the chain rule works!
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