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NCERT Class 12 · Ch 6 Exercise 6.1 · Q17

NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.1 Question 17

Find dA/dr for a circle at r=6 cm.

💡 Concept Hints

  1. Identify the domain and the inner and outer functions, or the relevant one-sided limits.
  2. Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.

✅ Step-by-Step Solution

Final Answer: B: 12π.
  1. A=πr² gives dA/dr=2πr.
  2. At r=6, the rate is 12π.

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