AP EAMCET · Maths · Application of Derivatives
A point is moving on the curve \(y=x^3-3 x^2+2 x-1\) and the \(y\)-coordinate of the point is increasing at the rate of 6 units per second. When the point is at \((2,-1)\), the rate of change of \(x\)-coordinate of the point is
- A \(3\)
- B \(\frac{1}{2}\)
- C \(-\frac{1}{2}\)
- D \(-3\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
Since, \(y=x^3-3 x^2+2 x-1\) Now, \(\frac{d y}{d t}=3 x^2 \frac{d x}{d t}-\frac{6 x d x}{d t}+\frac{2 d x}{d t}\)…
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