NCERT Class 12 · Ch 6 Exercise 6.1 · Q5
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 5
A circular wave radius increases at 5 cm/s. Find its enclosed-area rate at radius 8 cm.
💡 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: 80π cm²/s.
- A=πr² gives Aₜ=2πrrₜ.
- Substitution yields 2π·8·5=80π cm²/s.
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