TS EAMCET · Maths · Application of Derivatives
The local maximum of \(y=x^3-3 x^2+5\) is attained at
- A \(x=0\)
- B \(x=2\)
- C \(x=1\)
- D \(x=-1\)
Answer & Solution
Correct Answer
(A) \(x=0\)
Step-by-step Solution
Detailed explanation
Given, \(y=x^3-3 x^2+5\) On differentiating both sides w.r.t. ' \(x\) ', we get \[ \frac{d y}{d x}=3 x^2-6 x \] For local maxima or local minima, put \(\frac{d y}{d x}=0\)…
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