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Limits Continuity and Differentiability question

2022 · 28 Jul · Shift 1 · Q40

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 28 Jul · Shift 1 · Q40

Limits Continuity and Differentiability question

2022 · 28 Jul · Shift 1 · Q40

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f:[0,1] \rightarrow \mathbf{R}

be a twice differentiable function in

(0,1)

such that

f(0)=3

and

f(1)=5

. If the line

y=2 x+3

intersects the graph of

f

at only two distinct points in

(0,1)

, then the least number of points

x \in(0,1)

, at which

f^{\prime \prime}(x)=0

, is

\underline{\hspace{2cm}}

.

Numerical answer

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