Continuity and DifferentiabilityHard

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
⇒      

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

Which of the following function is differentiable at x = 0 ?...Let f(x) = , x ≠ 0 and f(0) = 1. The value of a and b so that f is a continuous function are -...If y = and = ax + b, then values of a & b are -...If f(x) = |cos x - sin x|, then f′(π/4) is equal to-...f(x) = 1 + [cos x] x in 0 < x ≤ π/2 , where [.] denotes greatest integer function then -...