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Derivatives
Compute derivatives and interpret rates of change.
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Using the limit definition, find
f
′
(
x
)
f'(x)
f
′
(
x
)
for
f
(
x
)
=
3
x
+
1
f(x) = 3x + 1
f
(
x
)
=
3
x
+
1
.
That is, compute
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}
lim
h
→
0
h
f
(
x
+
h
)
−
f
(
x
)
.
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