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The derivative of \[F[f\{\varphi (x)\}]\] is                        [AMU 2001]

A.            \[{F}'\,[f\,\{\varphi \,(x)\}]\]
B.            \[F\,[f\,\{\varphi \,(x)\}\,]\,{f}'\{\varphi (x)\}\]
C.            \[{F}'[f\,\{\varphi \,(x)\}]\,{f}'\{\varphi (x)\}\]
D.            \[{F}'\,[f\,\{\varphi \,(x)\}]\,{f}'\{\varphi (x)\}\,{\varphi }'\,(x)\]
Answer» E.


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