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Jamia Millia Islamia MCA Increasing Decreasing Function Previous Year Questions (PYQs)
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Jamia Millia Islamia MCA Increasing Decreasing Function Previous Year Questions (PYQs)
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Jamia Millia Islamia MCA
Previous Year Questions
Jamia Millia Islamia MCA
Previous Year Questions
Jamia Millia Islamia MCA
Qus : 1
1
The function $f(x)=x+\cos x$ is
1
always increasing
2
always decreasing
3
increasing for certain range of x
4
None of these
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Video Solution
Discussion
✓
Solution
$f'(x)=1-\sin x\in[0,2]$, so $f'(x)\ge0$ for all $x$ (zero only when $\sin x=1$).
Qus : 2
1
If a function $f(x)$ is increasing, then its derivative must be:
1
Positive
2
Negative
3
Zero
4
None of these
View Solution
Video Solution
Discussion
✓
Solution
Increasing function
$f'(x) > 0$
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