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Jamia Millia Islamia MCA Previous Year Questions (PYQs)

Jamia Millia Islamia MCA Increasing Decreasing Function PYQ


Jamia Millia Islamia MCA PYQ
The function $f(x)=x+\cos x$ is





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2024 PYQ

Solution

$f'(x)=1-\sin x\in[0,2]$, so $f'(x)\ge0$ for all $x$ (zero only when $\sin x=1$).

Jamia Millia Islamia MCA PYQ
If a function $f(x)$ is increasing, then its derivative must be:





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Jamia Millia Islamia MCA Previous Year PYQ Jamia Millia Islamia MCA JAMIA MILLIA ISLAMIA MCA 2025 PYQ

Solution

Increasing function
$f'(x) > 0$


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