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Let f: Rvec be a differentiable function...

Let `f: Rvec` be a differentiable function `AAx in R` . If the tangent drawn to the curve at any point `x in (a , b)` always lies below the curve, then `f^(prime)(x)<0,f^(x)<0AAx in (a , b)` `f^(prime)(x)>0,f^(x)>0AAx in (a , b)` `f^(prime)(x)>0,f^(x)>0AAx in (a , b)` `non eoft h e s e`

A

`f'(x) gt 0 f'(x) lt 0 AA x in (a,b)`

B

`f'(x) lt 0 f'(x) lt 0 AA x in (a,b)`

C

`f'(x) gt 0 f'(x) gt 0 AA x in (a,b)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
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