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Mathematics
Problem
In Exercises 23-28, find the derivative, if it exists, of the function at the specified point. 23.
f
(
x
)
=
1
−
x
2
f(x)=1-x^{2}
f
(
x
)
=
1
−
x
2
at
x
=
2
x=2
x
=
2
24.
f
(
x
)
=
2
x
+
1
2
x
2
f(x)=2 x+\frac{1}{2} x^{2}
f
(
x
)
=
2
x
+
2
1
x
2
at
x
=
2
x=2
x
=
2
25.
f
(
x
)
=
3
x
2
+
2
f(x)=3 x^{2}+2
f
(
x
)
=
3
x
2
+
2
at
x
=
−
2
x=-2
x
=
−
2
26.
f
(
x
)
=
x
2
−
3
x
+
1
f(x)=x^{2}-3 x+1
f
(
x
)
=
x
2
−
3
x
+
1
at
x
=
1
x=1
x
=
1
27.
f
(
x
)
=
∣
x
+
2
∣
f(x)=|x+2|
f
(
x
)
=
∣
x
+
2∣
at
x
=
−
2
x=-2
x
=
−
2
28.
f
(
x
)
=
1
x
+
2
f(x)=\frac{1}{x+2}
f
(
x
)
=
x
+
2
1
at
x
=
−
1
\quad x=-1
x
=
−
1
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