Let f(x) = (x-4)(x-5)(x-6)(x-7) then - - Vidyadip

MCQ

Let $f(x) = (x-4)(x-5)(x-6)(x-7)$ then -

A
$f'(x) = 0$ has four roots
✓
Three roots of $f'(x) = 0$ lie in $(4, 5) \cup (5, 6) \cup (6, 7)$
C
The equation $f'(x) = 0$ has only one root
D
Three roots of $f'(x) = 0$ lie in $(3, 4) \cup (4, 5) \cup (5, 6)$

✓

Answer

Correct option: B.

Three roots of $f'(x) = 0$ lie in $(4, 5) \cup (5, 6) \cup (6, 7)$

b

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