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Grade 12Differential Calculus

It is given in 25th question and I am unable to type it here..pplease help with solution..picture is attached🙏

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Profile image of Neelakantan
6 Years agoGrade 12
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer6 Years ago
Dear student
 
f"(x) less than zero means f'(x) is decreasing function. Means f'(0) is greater than f'(1)
 
Now Q'(x) = f'(x) - f'(1 -x)
 
Hence in (0, 1/2)
Q'(x) is positive.
 
Hence Q(x) is increasing function.
 
Hope it helps