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f(2)=1,f'(2)=3, g(x)=f(x(f(x)),then what is the value of g'(2)?

f(2)=1,f'(2)=3, g(x)=f(x(f(x)),then what is the value of g'(2)?

Grade:12

1 Answers

Arun
25750 Points
5 years ago
on differentiating
 
g’(x) = f ‘(x(f(x))) [x f’(x) + f(x)]
 
put x = 2
 
g’(2) = f ‘(2(f(2))) [2 f’(2) + f(2)]
 
g’(2) = f’(2) [6+1]
 
g’(2) = 21
 
Regards
Arun (askIITians forum expert)
 

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