Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksmonotonicity
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #22
For which values of a is f(x)=a(x−cos x) strictly decreasing on R?
✅ Step-by-Step Solution
Final Answer: Option (C): (−∞,0)
- For a<0, f′=a(1+sin x)≤0 and is negative except at isolated points, giving strict decrease. a=0 is constant; a>0 gives strict increase.
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