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Limits Continuity and Differentiability question

2017 · Shift 2 · Q19

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2017 · Shift 2 · Q19

Limits Continuity and Differentiability question

2017 · Shift 2 · Q19

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMCQ+3 / −1

If f : R

\to

R is a twice differentiable function such that f"(x) > 0 for all x

\in

R, and

f\left( {{1 \over 2}} \right) = {1 \over 2}

, f(1) = 1, then

A
f'(1) $\le$ 0
B
f'(1) > 1
C
0 < f'(1) $\le {1 \over 2}$
D
${1 \over 2}$ < f'(1) $\le$ 1

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