Class 12 Applications Of Derivatives · Conceptual Answer1 Marksextrema_parameters
Class 12 Maths · Applications Of Derivatives · Conceptual Answer #92
The function f(x)=x⁴−62x²+ax+9 attains its maximum on [0,2] at x=1. Find a.
✅ Step-by-Step Solution
Final Answer: a=120
- The interior extremum requires f′(1)=4−124+a=0, so a=120. For this a, f′=4(x−1)(x+6)(x−5), positive on [0,1) and negative on (1,2], verifying the maximum.
- a=120
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The interior extremum requires f′(1)=4−124+a=0, so a=120. For this a, f′=4(x−1)(x+6)(x−5), positive on [0,1) and negative on (1,2], verifying the maximum.
- [0.5 marks] a=120
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