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if f(x)=(x -4) (x-5) (x-6) (x-7) then....

if f(x)=(x -4) (x-5) (x-6) (x-7) then.

A

`f '(x) = 0` has four roots

B

Three roots of `f '(x) = 0` lie in `(4,5) uu(5,6)uu(6,7)`

C

The equation `f '(x) = 0` has only one real root

D

Three roots of `f'(x)=0` lie in `(3,4)uu(4,5)uu(5,6)`

Text Solution

Verified by Experts

The correct Answer is:
B
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