हिंदी

Which inverse functions have denominator \[\sqrt{1-x^2}\] in their derivatives?

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प्रश्न

Which inverse functions have denominator \[\sqrt{1-x^2}\] in their derivatives?

विकल्प

  • \[\sin^{-1}x\] and \[\cos^{-1}x\]

  • \[\tan^{-1}x\] and \[\cot^{-1}x\]

  • \[\sec^{-1}x\] and \[\operatorname{cosec}^{-1}x\]

  • \[\sin^{-1}x\] and \[\tan^{-1}x\]

MCQ
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उत्तर

Both \[\sin^{-1}x\] and \[\cos^{-1}x\] have denominator \[\sqrt{1-x^2}\]. Their derivatives differ in sign.

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