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Mathematics
Mathematics
Problem
If the function
f
(
x
)
=
sin
(
ln
x
)
−
2
cos
(
ln
x
)
f(x) = \sin(\ln x) - 2\cos(\ln x)
f
(
x
)
=
sin
(
ln
x
)
−
2
cos
(
ln
x
)
is increasing in the interval
(
e
λ
,
e
μ
)
(e^\lambda, e^\mu)
(
e
λ
,
e
μ
)
then
5
cos
(
μ
−
λ
)
\sqrt{5}\cos(\mu - \lambda)
5
cos
(
μ
−
λ
)
is equal to (a)
−
5
-\sqrt{5}
−
5
(b)
−
5
2
\frac{-\sqrt{5}}{2}
2
−
5
(c) 0 (d)
5
\sqrt{5}
5
(a)
−
5
-\sqrt{5}
−
5
(b)
−
5
2
\frac{-\sqrt{5}}{2}
2
−
5
(c) 0 (d)
5
\sqrt{5}
5
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