When to use the Chain Rule

The key is whether or not you are plugging the result of a function into another function. The idea is shown by contrasting the procedures for taking the derivatives of sin(x^2) and x^2*sin(x).

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...s first being squared, then the result of that is being put into another function, the sine function, so for this problem you will be using the Chain Rule. This means that you will take the derivative of the outside function (the sine function—remember not to lose ...