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Mathematics
Problem
For
h
(
x
)
=
(
x
2
+
1
)
cos
2
x
h(x)=(x^{2}+1)\cos^{2}x
h
(
x
)
=
(
x
2
+
1
)
cos
2
x
, which of the following is a correct expression for
h
′
(
x
)
h'(x)
h
′
(
x
)
? a)
2
x
cos
2
x
+
2
(
x
2
+
1
)
sin
x
cos
x
2x\cos^{2}x+2(x^{2}+1)\sin x\cos x
2
x
cos
2
x
+
2
(
x
2
+
1
)
sin
x
cos
x
b)
(
x
2
+
1
)
(
−
2
sin
x
cos
x
)
(x^{2}+1)(-2\sin x\cos x)
(
x
2
+
1
)
(
−
2
sin
x
cos
x
)
c)
2
x
cos
2
x
−
2
(
x
2
+
1
)
sin
x
cos
x
2x\cos^{2}x-2(x^{2}+1)\sin x\cos x
2
x
cos
2
x
−
2
(
x
2
+
1
)
sin
x
cos
x
d)
2
x
cos
2
x
+
2
(
x
2
+
1
)
cos
x
2x\cos^{2}x+2(x^{2}+1)\cos x
2
x
cos
2
x
+
2
(
x
2
+
1
)
cos
x
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