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

If `f(x)` is a differentiable function satisfying `|f'(x)|le4AA x in [0, 4]` and `f(0)=0`, then

A

`f(x)=18` has no solution in `x in [0, 4]`

B

`f(x)=18` has more than 2 solutions in `x in [0,4]`

C

`f(x)=14` has 3 solutions in `x in [0, 4]`

D

`f(x)=20` has 2 solutions in `x in [0, 4]`

Text Solution

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The correct Answer is:
A
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