Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Explain, in at most two sentences, how it is possible for the derivative of the product
p
(
x
)
=
f
(
x
)
g
(
x
)
p(x)=f(x)g(x)
p
(
x
)
=
f
(
x
)
g
(
x
)
to equal
0
0
0
at a point even though neither
f
′
(
x
)
f'(x)
f
′
(
x
)
nor
g
′
(
x
)
g'(x)
g
′
(
x
)
is
0
0
0
at that same point.
Browse the problem library