Differentiation Question 268

Question: The derivative of $ F

[f{\varphi (x)}] $ is [AMU 2001]

Options:

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) $

Show Answer

Answer:

Correct Answer: D

Solution:

$ {y}’={F}’[f{\varphi (x)}]{f}’{\varphi (x)}{\varphi }’(x) $ .