Continuity and DifferentiabilityMedium

Question

Let f : R → R be such that f(1) = 3 and f′(1) = 6 Then, equals

Options

A.1
B.e1/2 
C.e2 
D.e3 

Solution

Let y     
⇒     log y = [log f(1 + x) - log f  (1)]
log y = ( using L′ Hospital′s rule)
         
⇒       log = 2
⇒      

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