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

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
MCQ
The derivative of $F[f\{ \phi (x)\} ]$ is
  • A
    $F'\,[f\,\{ \phi  \,(x)\} ]$
  • B
    $F\,[f\,\{ \phi \,(x)\} \,]\,f'\{ \phi (x)\} $
  • C
    $F'[f\,\{ \phi \,(x)\} ]\,f'\{ \phi (x)\} $
  • ✓
    $F'\,[f\,\{ \phi \,(x)\} ]\,f'\{ \phi (x)\} \,\phi  '\,(x)$
✓

Answer

Correct option: D.
$F'\,[f\,\{ \phi \,(x)\} ]\,f'\{ \phi (x)\} \,\phi  '\,(x)$
d
(d) $y' = F'[f\{ \phi (x)\} ]\,f'\,\{ \phi (x)\} \,\phi '(x)$.

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