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5. continuity and differentiation — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
A function $f$ satisfies the relation

$f(x) = f''(x) + f'''(x) + .......\infty $ where $f(x)$ is a differentiable function indefinitely. If $f(1) = 5$ , then the value of $f'(1) + f''(1)$ is equal to

  • A
    $0$
  • B
    $-5$
  • ✓
    $5$
  • D
    cannot be determined
✓

Answer

Correct option: C.
$5$
c
$f'(1) + f''(1) = f(1) = 5$

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