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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
sin
x
,
g
(
x
)
=
x
2
f(x) = \sin x, g(x) = x^2
f
(
x
)
=
sin
x
,
g
(
x
)
=
x
2
and
h
(
x
)
=
log
x
h(x) = \log x
h
(
x
)
=
lo
g
x
. If
F
(
x
)
=
h
(
f
(
g
(
x
)
)
)
F(x) = h(f(g(x)))
F
(
x
)
=
h
(
f
(
g
(
x
)))
, then
F
′
(
x
)
F'(x)
F
′
(
x
)
is a.
2
x
cot
x
2
2x \cot x^2
2
x
cot
x
2
b.
2
cos
x
2
cos
2
x
2 \cos x^2 \cos^2 x
2
cos
x
2
cos
2
x
c.
−
2
cos
x
2
cos
2
x
-2 \cos x^2 \cos^2 x
−
2
cos
x
2
cos
2
x
d. None of these
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