f(x) = xn, n ≠ 0 అనే ఫంక్షన్ అన్నిxకి భేదమైనది అనుకుందాం. అప్పుడు n విరామం యొక్క ఏదైనా మూలకం కావచ్చు 

This question was previously asked in
NDA (Held On: 23 April 2017) Maths Previous Year paper
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  1. [1, ∞)
  2. (0, ∞)
  3. None of the above

Answer (Detailed Solution Below)

Option 1 : [1, ∞)
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లెక్కింపు: 

ఇచ్చినది: f(x) = xn, n ≠ 0.

F’(x) = nxn – 1

 x యొక్క అన్నీ విలువలకుf(x) బేధం కావాలంటే,n – 1 ≥ 0

కాబట్టి, n ≥ 1.

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