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Let f:RtoR be a differentiable function ...

Let `f:RtoR` be a differentiable function `AAxinR` . If the tangent drawn to the curve at any point `xin(a,b)` always lies below the curve , then

A

`f'(x)gt0,f''(x)lt0AAx in(a,b)`

B

`f(x)lt0,f''(x)lt0AAx in(a,b)`

C

`f'(x)gt0,f''(x)lt0AAx in(a,b)`

D

`f(x)le0,f''(x)le0AAx in(a,b)`

Text Solution

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The correct Answer is:
C
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