COMEDK · Maths · 27. Application of Derivatives
Let \(x\) be a number which exceeds its square by the greatest possible quantity, then \(x=\)
- A \(1 / 2\)
- B \(1 / 4\)
- C \(3 / 4\)
- D \(1 / 3\)
Answer & Solution
Correct Answer
(A) \(1 / 2\)
Step-by-step Solution
Detailed explanation
Let the required numbers be \(x\). Then, \(f(x)=x-x^{2}\) \(\Rightarrow \quad f^{\prime}(x)=1-2 x\) For a local maxima or local minima, we must have…
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