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Find the derivative of f(x) = x 3 -x using the definition of derivative ?

Find the derivative of f(x) = x3-x using the definition of derivative ?

Grade:11

1 Answers

Mounik
48 Points
5 years ago
The given function is f(x) = x3-x
Now we calculate the difference quotient 
f(x+h) – f(x) / h  = [(x+h)3- (x+h)] – [x3-x] / h
3x2+3xh+h2-1
limh-0 3x2+3xh+h2-1
= 3x2- 1

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