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Q. If $f(x)=|\cos x|$ then $f^{1}\left(\frac{\pi}{4}\right)$ is

Solution:

$f(x)=|\cos x|=\cos x$,
if $0 < x < \frac{\pi}{2}$
$f^{1}(x)=-\sin x$
$f^{1}\left(\frac{\pi}{4}\right)=\frac{-1}{\sqrt{2}}$