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How does \(\cot^{-1}x\) behave on its domain \(\mathbb{R}\)?\(\cot^{-1}x\) अपने प्रांत \(\mathbb{R}\) में कैसा फलन है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Decreasingघटता हुआ
The function \(\cot^{-1}x\) is decreasing on \(\mathbb{R}\). Its principal value range is \(\left(0,\pi\right)\).\(\cot^{-1}x\) \(\mathbb{R}\) पर घटता हुआ फलन है। इसका मुख्य मान परिसर \(\left(0,\pi\right)\) है।
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