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A continuous and differentiable function...

A continuous and differentiable function f satisfies the condition, `int_(0)^(x)f(t)dt=f^(2)(x)-1` for all real x. Then

A

f is monotonic increasing `AA x in R`

B

f is monotonic decreasing `AA x in R`

C

f is non monotonic

D

the graph of `y=f(x)` is a straight line

Text Solution

Verified by Experts

The correct Answer is:
A, D
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