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If f(x) is a differentiable function whe...

If `f(x)` is a differentiable function wherever it is continuous and `f'(c_1)=f'(c_2)=0` `f''(c_1).f''(c_2)<0, f(c_1)=5,f(c_2)=0` and `(c_1ltc_2)` . If `f(x) ` is continuous in `[c_1,c_2]` and `f''(c_1)-f''(c_2)>0` then minimum number of roots of `f'(x)=0` in `[c_1-1,c_2+1]` is

A

2

B

3

C

4

D

5

Text Solution

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The correct Answer is:
C
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