DifferentiationHard
Question
Let g is the inverse function of f and f′(x) = 
. If g(2) = a, then g′(2) is equal to
. If g(2) = a, then g′(2) is equal toOptions
A.
B.
C.
D.
Solution
f¢(x) = 
, g(2) = a & g′(2) = ?
g is inverse of f
f(g(x)) = x
Differentiating w.r.t. x
f′(g(x)) . g′(x) = 1
g′(x) =
g′(2) =
g′(2) =
, g(2) = a & g′(2) = ?g is inverse of f
f(g(x)) = x
Differentiating w.r.t. x
f′(g(x)) . g′(x) = 1
g′(x) =
g′(2) =
g′(2) =
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