If and ,…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

y=\frac{a^{\cos^{-1}x}}{1+a^{\cos^{-1}x}}

and

z=a^{\cos^{-1}x}

, then

\frac{dy}{dz}=

(a)

\frac{1}{1+a^{\cos^{-1}x}}

(b)

-\frac{1}{1+a^{\cos^{-1}x}}

(c)

\frac{1}{\left(1+a^{\cos^{-1}x}\right)^2}

(d) None of these