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STD 12 - 5. continuity and differentiation — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 5. continuity and differentiation4 Marks
MCQ
A real valued function $y = f(x)$ satisfies the relation $f\left( {x - \frac{4}{9}} \right) + 2x \le \frac{9}{4}{x^2} + \frac{8}{9} \le f\left( {x + \frac{4}{9}} \right) - 2x$ . The value of $f\ ''(2)$ is
  • A
    $4$
  • ✓
    $\frac {9}{2}$
  • C
    $\frac {15}{2}$
  • D
    $\frac {27}{2}$
✓

Answer

Correct option: B.
$\frac {9}{2}$
b
$f(x)=\frac{9}{4} x^{2}+\frac{4}{9}$

$f^{\prime}(x)=\frac{9}{2} x$

$f^{\prime}(x)=\frac{9}{2}$

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