SOLUTION: use the limit definition if the derivative to find a formula for f'(x) for f(x)=1/x
Explain how to start on this
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Question 1066026: use the limit definition if the derivative to find a formula for f'(x) for f(x)=1/x
Explain how to start on this Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! f(x+h)=1/(x+h)
f(x+h)-f(x) all divided by h
(1/(x+h)-1/(x))= 1/(x+h)(x){x-(x+h)}
The numerator becomes -h
The denominator, (x+h)(x)=(x^2+xh)h
Divide by h top and bottom
have -1/x(x+h)
Let h approach 0, we have -1/(x^2), which is the derivative.
