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Reversing the Chain Rule

The chain rule is used to determine the derivative of a composite of two functions y = f(g(x)) where y = f(u) is the outside function and u = g(x) represents the inside function. The chain rule stated that the derivative of a composite function is the product of the derivatives for the outside and inside function. In this video, we reverse the chain rule by finding the family of antiderivatives for a composite function, where the integrand contains the derivative of the inside function du = g'(x)dx. We also cover the steps to use Integration by Substitution as a technique to reverse the chain rule. Feel free to ask a question or leave comments.