Verify rolle`s theorem for the function f(X)=2x^3+x^2-4x-2 in interval [-√3,√3]
Sai likith , 7 Years ago
Grade 12th pass
Differential Calculus> Verify rolle`s theorem for the function f...
1 AnswersArun
Last Activity: 7 Years ago
for rolle’s theorem,
- f(x) should be continuous in (a, b)
- f(x) should be diffrentiable in (a, b)
- if f(a)= f(b) then there exist a point c in(a, b) such that f’(c) = 0
now as we see that point 1 & point 2 is true.
now coming to the 3rd point
f( – 
3) = – 63 + 3 +43 – 2 = – 23 +1
f(3) = 63 + 3 – 43 – 2 = 23 +1
but here f( – 3) is not equal to f(3)
hence rolles theorem can’t be applied
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