Grade 11Differential Calculus
Find the derivative of f(x) = x3-x using the definition of derivative ?
Find the derivative of f(x) = x3-x using the definition of derivative ?
1 Answer
Mounik
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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