AP EAMCET · Maths · Application of Derivatives
If the error committed in measuring the radius of the circle is , then the corresponding error in calculating the area is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Area of circle, A=πr2 Apply log on both sides ⇒ logA=logπ+2logr Differentiating w.r.t. x ⇒ ∆AA=2×∆rr =2×0.05 =0.1%
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