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If f(x)=x^(3) and g(x)=x^(3)-4x in -2 le...

If `f(x)=x^(3)` and `g(x)=x^(3)-4x` in `-2 le x le 2`, then consider the statements :
(i) `f(x)` and `g(x)` satisfy Rolle's theorem.
(ii) `f(x)` and `g(x)` both satisfy Rolle's theorem.
(iii) Only `g(x)` satisfies Rolle's theorem. Of these statements

A

(i) and (ii) are correct

B

(i) alone is correct

C

None is correct

D

(i) and (iii) are correct

Text Solution

Verified by Experts

The correct Answer is:
D
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