Question:
The value of a in order that
f(x)= x- x-ax+b
decreases for all real values is
The value of a in order that
f(x)= x- x-ax+b
decreases for all real values is
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Maximum of x+ x=√(2).
Updated On: Mar 17, 2026
- a√(2)
- a<√(2)
- a\ge1
- a<1
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The Correct Option is A
Solution and Explanation
f'(x)= x+ x-a
For decreasing function:
f'(x)\le0 x+ x a
Maximum value of x+ x=√(2).
Thus:
a√(2)
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