Continuity and DifferentiabilityHard

Question

Let g is the inverse function of f & f′(x) = . If g(2) = a then g′(2) is equal to -

Options

A.
B.
C.
D.

Solution

g(x) = f-1(x) ⇒    fog(x) = x 
⇒  f′(g(x))g′(x) = 1  ⇒ g′(x) =
⇒  g′(2) =

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