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IB
Medium
Calculus
10–12
For
f
(
x
)
=
(
2
x
+
1
)
4
f(x) = (2x + 1)^{4}
f
(
x
)
=
(
2
x
+
1
)
4
, find
f
′
(
1
)
f'(1)
f
′
(
1
)
.
Para
f
(
x
)
=
(
2
x
+
1
)
4
f(x) = (2x + 1)^{4}
f
(
x
)
=
(
2
x
+
1
)
4
, determina
f
′
(
1
)
f'(1)
f
′
(
1
)
.
Answer options
A.
216
B.
324
C.
108
D.
81
Check Answer
Solution
Step 1 of 3
1.
Chain rule:
f
′
(
x
)
=
4
(
2
x
+
1
)
3
×
2
=
8
(
2
x
+
1
)
3
f'(x) = 4(2x + 1)^{3} \times 2 = 8(2x + 1)^{3}
f
′
(
x
)
=
4
(
2
x
+
1
)
3
×
2
=
8
(
2
x
+
1
)
3
Next step
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