AP EAMCET · Maths · Application of Derivatives
If \(y=x-x^2\), then the rate of change of \(y^2\) with respect to \(x^2\) at \(x=2\) is
- A \(0\)
- B \(-1\)
- C \(3\)
- D \(9\)
Answer & Solution
Correct Answer
(C) \(3\)
Step-by-step Solution
Detailed explanation
\(y=x-x^2\) Let \(v=y^2=x^2+x^4-2 x^3 \Rightarrow \frac{d\left(y^2\right)}{d x}=2 x+4 x^3-6 x^2\) \(u=x^2 \Rightarrow \frac{d u}{d x}=2 x\)…
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