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Mathematics
Mathematics
Problem
Let
g
(
x
)
g(x)
g
(
x
)
be the inverse of an invertible function
f
(
x
)
f(x)
f
(
x
)
which is differentiable at
x
=
c
x = c
x
=
c
, then
g
′
(
f
(
c
)
)
g'(f(c))
g
′
(
f
(
c
))
equals a.
f
′
(
c
)
f'(c)
f
′
(
c
)
b.
1
f
′
(
c
)
\frac{1}{f'(c)}
f
′
(
c
)
1
c.
f
(
c
)
f(c)
f
(
c
)
d. None of these
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