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Application of Derivatives question

2021 · 17 Mar · Shift 2 · Q41

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JEE Main
Mathematics
Application of Derivatives
2021 · 17 Mar · Shift 2 · Q41

Application of Derivatives question

2021 · 17 Mar · Shift 2 · Q41

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1

Let f : [

-

1, 1]

\to

R be defined as f(x) = ax2 + bx + c for all x

\in

[

-

1, 1], where a, b, c

\in

R such that f(

-

1) = 2, f'(

-

1) = 1 for x

\in

(

-

1, 1) the maximum value of f ''(x) is

{{1 \over 2}}

. If f(x)

\le \alpha

, x

\in

[

-

1, 1], then the least value of

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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