Class 12 Applications Of Derivatives · Conceptual Answer1 Marksmonotonicity
Class 12 Maths · Applications Of Derivatives · Conceptual Answer #33
Find the maximal interval on which f(x)=7−4x−x² is strictly increasing.
✅ Step-by-Step Solution
Final Answer: (−∞,−2]
- f′=−4−2x is positive for x<−2 and zero only at the right endpoint; strict increase extends to −2.
- (−∞,−2]
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] f′=−4−2x is positive for x<−2 and zero only at the right endpoint; strict increase extends to −2.
- [0.5 marks] (−∞,−2]
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