Continuity and DifferentiabilityHard
Question
Let g is the inverse function of f & f′(x) = 
. If g(2) = a then g′(2) is equal to -
. 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) =
⇒ f′(g(x))g′(x) = 1 ⇒ g′(x) =
⇒ g′(2) =
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