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Mathematics
Mathematics
Problem
Consider
y
=
(
a
x
+
b
)
−
2
y=(ax+b)^{-2}
y
=
(
a
x
+
b
)
−
2
, where
a
a
a
and
b
b
b
are real constants and
a
≠
0
a\neq0
a
=
0
. a. (a) Find
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
. b. (b) State the condition under which the graph of
y
y
y
is concave upward for all real
x
x
x
.
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