Class 12 Applications Of Derivatives · Short Answer2 Marksmarginal_change
Class 12 Maths · Applications Of Derivatives · Short Answer #93
Contentment after consuming x units is C(x)=x³+6x²+5x+3. Find marginal contentment at x=3.
✅ Step-by-Step Solution
Final Answer: 68 units per unit consumed
- Marginal contentment is C′(x).
- Differentiate: C′=3x²+12x+5. At x=3 it equals 27+36+5.
- The marginal contentment is 68 units per unit consumed.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Marginal contentment is C′(x).
- [1 mark] Differentiate: C′=3x²+12x+5. At x=3 it equals 27+36+5.
- [0.5 marks] The marginal contentment is 68 units per unit consumed.
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