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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The function $f(x)=x^2-2x$ is strictly decreasing in the interval
Solution
$f(x)=x^2-2x$
Differentiate:
$f'(x)=2x-2$
For strictly decreasing,
$f'(x)<0$
$2x-2<0$
$2x<2$
$x<1$
So function is strictly decreasing in
$(-\infty,1)$
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