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Definition of Derivatives

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The process of working with the definition of the derivative is shown using the example f(x)=3x-6.

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Solution Summary

The process of working with the definition of the derivative is shown.

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The main definition of the derivative is (some books may use instead of ) and our function is . We are going to replace both and in the definition with what they are equal to. We already know what is equal to, but we need to figure out . We do that by replacing every in our given function with and simplifying algebraically:

Now we are ready ...

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