NCERT Class 12 · Ch 6 Exercise 6.1 · Q4
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 4
A cube edge increases at 3 cm/s. Find its volume rate at edge 10 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: 900 cm³/s.
- V=u³ gives Vₜ=3u²uₜ.
- At u=10 and uₜ=3, Vₜ=3·100·3=900 cm³/s.
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