The question is answered by contrasting the procedures for taking the derivatives of f(x)=x^2-3x+7 and f(x)=(x^2-3x+7)^4.© BrainMass Inc. brainmass.com March 4, 2021, 5:38 pm ad1c9bdddf
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If anywhere in the problem the result of a function is put into another function, then you will be using the Chain Rule.
If you look at the problem , the variable, , is being squared and is also being multiplied by -3, then those results are being added ...
This explains when to use the chain rule with examples. The contrast procedures for taking the derivatives are given.