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oksano4ka [1.4K]
3 years ago
13

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

Mathematics
1 answer:
guapka [62]3 years ago
6 0
Example 1. Let us start with the functionf(x) = x2. We have 




So 




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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