If the function is increasing in the interval then is equal to

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

If the function

f(x) = \sin(\ln x) - 2\cos(\ln x)

is increasing in the interval

(e^\lambda, e^\mu)

then

\sqrt{5}\cos(\mu - \lambda)

is equal to (a)

-\sqrt{5}

(b)

\frac{-\sqrt{5}}{2}

\sqrt{5}