Yes, I can explain the calculus chain rule.

The chain rule is a rule in calculus that allows you to find the derivative of a composite function. A composite function is a function that is composed of two or more functions.

Let's say you have a composite function f(x) = g(h(x)), where g is a function of h(x) and h(x) is a function of x. To find the derivative of f(x), you would use the chain rule.

The chain rule states that the derivative of f(x) is equal to the derivative of g evaluated at h(x), multiplied by the derivative of h(x) with respect to x. In other words:

f'(x) = g'(h(x)) * h'(x)

To see how this works, let's look at an example. Suppose we have the function f(x) = (x^2 + 1)^3. This is a composite function, where g(x) = x^3 and h(x) = x^2 + 1. Using the chain rule, we can find the derivative of f(x) as follows:

f'(x) = g'(h(x)) * h'(x)
= 3(h(x))^2 * 2x
= 6x(x^2 + 1)^2

So the derivative of f(x) is 6x(x^2 + 1)^2.

The chain rule is an important tool in calculus, as it allows you to find the derivative of many functions that are composed of other functions.
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