### Help me to understand the formal setup of the Chain Rule.

The procedure is shown using the easy example y=(5x^4+3x^2-2)^7.

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The procedure is shown using the easy example y=(5x^4+3x^2-2)^7.

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.

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Please see the attached problem file

Explaination for derivatives related to exponential and logarithmic functions ,formulae used to solve them and solutions to some problems. All problems are in the solution file

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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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Y' = (x+2)^2e^y with y(1) = 0

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