Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksmonotonicity_parameters
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #86
Find the full set of k for which f(x)=2x²−kx+5 is strictly increasing on [1,2].
✅ Step-by-Step Solution
Final Answer: Option (A): (−∞,4]
- f′=4x−k. If k≤4 it is positive in (1,2), so f is strictly increasing; if k>4 it is negative just to the right of 1 (or throughout), preventing increase.
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