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Mathematics
Problem
Let
f
(
x
)
=
(
x
2
+
4
x
)
(
2
x
2
−
3
)
f(x)= (x^{2}+4x)(2x^{2}-3)
f
(
x
)
=
(
x
2
+
4
x
)
(
2
x
2
−
3
)
. Which of the following correctly represents
f
′
(
x
)
f'(x)
f
′
(
x
)
before any simplification? a)
(
2
x
+
4
)
(
4
x
)
(2x+4)(4x)
(
2
x
+
4
)
(
4
x
)
b)
(
2
x
+
4
)
(
2
x
2
−
3
)
+
(
x
2
+
4
x
)
(
4
x
)
(2x+4)(2x^{2}-3)+(x^{2}+4x)(4x)
(
2
x
+
4
)
(
2
x
2
−
3
)
+
(
x
2
+
4
x
)
(
4
x
)
c)
(
2
x
+
4
)
(
2
x
2
−
3
)
(2x+4)(2x^{2}-3)
(
2
x
+
4
)
(
2
x
2
−
3
)
d)
(
2
x
+
4
)
(
2
x
2
−
3
)
+
(
x
2
+
4
x
)
(
2
)
(2x+4)(2x^{2}-3)+(x^{2}+4x)(2)
(
2
x
+
4
)
(
2
x
2
−
3
)
+
(
x
2
+
4
x
)
(
2
)
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