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Mathematics
Problem
4. Prove that the following functions do not have maxima or minima: (i)
f
(
x
)
=
e
x
f(x)=e^{x}
f
(
x
)
=
e
x
(ii)
g
(
x
)
=
log
x
g(x)=\log x
g
(
x
)
=
lo
g
x
(iii)
h
(
x
)
=
x
3
+
x
2
+
x
+
1
h(x)=x^{3}+x^{2}+x+1
h
(
x
)
=
x
3
+
x
2
+
x
+
1
(i)
f
(
x
)
=
e
x
f(x)=e^{x}
f
(
x
)
=
e
x
(ii)
g
(
x
)
=
log
x
g(x)=\log x
g
(
x
)
=
lo
g
x
(iii)
h
(
x
)
=
x
3
+
x
2
+
x
+
1
h(x)=x^{3}+x^{2}+x+1
h
(
x
)
=
x
3
+
x
2
+
x
+
1
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