NCERT Class 12 · Ch 6 Exercise 6.1 · Q15
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 15
C(x)=0.007x³−0.003x²+15x+4000 rupees. Find marginal cost at x=17.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: ₹20.967 per additional unit (approximately ₹20.97).
- Marginal cost is C′(x)=0.021x²−0.006x+15.
- C′(17)=0.021·289−0.006·17+15=20.967.
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