Set, Relation and FunctionHard

Question

Let f(x) be a differentiable function on interval (0, ∞) such that f(1) = and then f(2) has value equal to

Options

A.1
B.
C.
D.4/8

Solution


Using L-Hospital

⇒ 
⇒  x2f′(x) - 3xf(x) = - 1 ⇒

∴  y ×
f(1) = ⇒ c = 0
∴  y =

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