AP EAMCET · Maths · Differential Equations
If the increase in the side of square is \(6 \%\), then the approximate percentage increase in its area ......
- A \(36 \%\)
- B \(12 \%\)
- C \(3 \%\)
- D \(4 \%\)
Answer & Solution
Correct Answer
(B) \(12 \%\)
Step-by-step Solution
Detailed explanation
Let side of square \(=x\) Given, percentage change in side \(=6 \%\) \[ \frac{d x}{x} \times 100=6 \% \] We have, \(A=x^2\) Differentiate w.r.to ' \(x\) ' \[ \frac{d A}{d x}=2 x \Rightarrow d A=2 x d x \] Dividing by \(x^2\) on both sides…
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