JEE Exam > JEE Questions > If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y...
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If xy=e(x-y), (dy/dx)=
- a)[(y)/(1+logx)]
- b)[(x-y)/(1+logx)2]
- c)[(x-y)/(1+logx)]
- d)[(logx)/(1+logx)2]
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+l...
Solution:Given function is xy=e(x-y)To find (dy/dx), we need to differentiate the given function with respect to x.Differentiating both sides with respect to x, we gety.dx/dx + x.dy/dx = e(x-y).(1-y)Simplifying the above equation, we getdy/dx = [(y)/(1-y)] - [(x-y)/(1-y).logx]Hence, the option (c) [(x-y)/(1 logx)] is the correct answer.Explanation:The given function is xy=e(x-y)We need to find (dy/dx)Differentiating both sides with respect to x, we gety.dx/dx + x.dy/dx = e(x-y).(1-y)Simplifying the above equation, we getdy/dx = [(y)/(1-y)] - [(x-y)/(1-y).logx]Hence, the option (c) [(x-y)/(1 logx)] is the correct answer.
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If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+l...
Answer is wrong dy/dx = x-y/x(1+logx) aata he
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If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer?
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If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer?.
If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If xy=e(x-y), (dy/dx)=a)[(y)/(1+logx)]b)[(x-y)/(1+logx)2]c)[(x-y)/(1+logx)]d)[(logx)/(1+logx)2]Correct answer is option 'D'. Can you explain this answer?.
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