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Guided Example #5 - Definition of Deriviative
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Guided Example #5 - Definition of Deriviative
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Guided Example #5 - Definition of Deriviative
Let
f
(
x
)
=
2
x
–
3
. Use the definition of derivative to find
f
'
(
4
)
.
A.
1
2
B.
1
4
C.
2
D.
4
Step 1
f
´
(
4
)
=
lim
h
→
o
f
(
4
+
h
)
-
f
(
4
)
h
Step 2
f
´
(
4
)
=
lim
h
→
o
2
(
4
+
h
)
-
3
-
(
2
•
4
-
3
)
h
Step 3
f
´
(
4
)
=
lim
h
→
o
8
+
2
h
-
3
-
8
+
3
h
Step 4
f
´
(
4
)
=
lim
h
→
o
2
h
h
Step 5
f
´
(
4
)
=
2
All Steps
f
´
(
4
)
=
lim
h
→
o
f
(
4
+
h
)
-
f
(
4
)
h
f
´
(
4
)
=
lim
h
→
o
2
(
4
+
h
)
-
3
-
(
2
•
4
-
3
)
h
f
´
(
4
)
=
lim
h
→
o
8
+
2
h
-
3
-
8
+
3
h
f
´
(
4
)
=
lim
h
→
o
2
h
h
f
´
(
4
)
=
2
Guided Example #4 - Definition of Deriviative
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