Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
and
x
=
g
(
y
)
x = g(y)
x
=
g
(
y
)
are inverse functions of each other, then a.
g
′
′
(
y
)
=
1
f
′
(
x
)
g''(y) = \frac{1}{f'(x)}
g
′′
(
y
)
=
f
′
(
x
)
1
b.
g
′
′
(
y
)
=
−
f
′
′
(
x
)
(
f
′
(
x
)
)
3
g''(y) = -\frac{f''(x)}{(f'(x))^3}
g
′′
(
y
)
=
−
(
f
′
(
x
)
)
3
f
′′
(
x
)
c.
g
′
′
(
y
)
=
−
f
′
(
x
)
(
f
′
′
(
x
)
)
3
g''(y) = -\frac{f'(x)}{(f''(x))^3}
g
′′
(
y
)
=
−
(
f
′′
(
x
)
)
3
f
′
(
x
)
d. None of these
Browse the problem library