IIT QUESTION
PLZ TRY........
LET f(x) = lnx and g(x) be the inverse of the function f(f(x)).then the value of 3/e * g' (0)
is?
NOTE { g' means g differentiation}
ROSANNAKARYA03:
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f( f(x)) = ln( lnx)
x = ln( lny)
e^x = lny
e^x = 1/y y'
y' = e^x.y
g'(0)= e
SO 3/e. e
= 3
x = ln( lny)
e^x = lny
e^x = 1/y y'
y' = e^x.y
g'(0)= e
SO 3/e. e
= 3
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