CUET UG Mathematics Applied Increasing Decreasing Function Previous Year Questions (PYQs)
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If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:
1
2
3
4
Solution
The function $f(x)=x^2-2x$ is strictly decreasing in the interval
1
2
3
4
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
$(-\infty,1)$
CUET UG Mathematics Applied
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CUET UG Mathematics Applied
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