How do you use the limit definition of the derivative to find the derivative of f(x)=1/x?

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(1) Answers

tester2061

Example 1. Let us start with the functionf(x) = x2. We have
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So
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which means f '(a) = 2a.
What about the derivative of f(x) = xn. Similar calculations, using the binomial expansion for (x+y)n (Pascal's Triangle), yield
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