The derivative of F[f (x) ] is - Vidyadip

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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