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Let f:[1,3] toR be a continuous function...

Let `f:[1,3] toR` be a continuous function that is differentiable in `(1,3)" and " f'(x)=|(f(x))|^2+4" for all "x in(1,3)`. Then,

A

`f(3)-f(1)=5` is true

B

`f(3)-f(1)=5` is false

C

`f(3)-f(1)=7` is false

D

`f(3)-f(1)lt0`only at one point (1,3)

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B, C
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