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If f(x) is differentiable function wher ...

If f(x) is differentiable function wher it is continuous and `f(c_(1))=f(c_(2))=0,f'(c_(1)).f(c_(2))lt0` if `f(c_(1))=5andf(c_(2))=0(c_(1)ltc_(2))`
If is continuous in `[c_(1)-1,c_(2)+1]andf'(c_(1))- f'(c_(2))gt0` then minimum numbers of roots of f(x) = 0 in `[c_(1)-1,c_(2)+1]` is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
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