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If xy = 2, then dy/dx is
a) -x2/2
b) y2
c) y/x
d) -2/x2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is op...
Xy = 2 (on differentiating both side) [x . dy/dx + y .1 = 0] (as, xy = 2 then x = 2/y) (now putting the value of x ) [ 2/y . dy/dx = -y ] [dy/dx = -y/2/y] [dy/dx = -y^2/2] HENCE OPTION 'd' IS CORRECT
Community Answer
If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is op...
Solution:
Given, xy = 2
Differentiating both sides with respect to x, we get
y(dx/dx) + x(dy/dx) = 0
dy/dx = -y/x
Substitute the value of xy = 2
dy/dx = -y/x = -2/x2
Hence, option D is the correct answer.
Explanation:
The question is based on implicit differentiation.
Implicit differentiation is a method of finding the derivative of a function that is defined implicitly by an equation.
In this case, the equation is xy = 2.
To find dy/dx, we differentiate both sides of the equation with respect to x.
Using the product rule of differentiation, we get y(dx/dx) + x(dy/dx) = 0.
Simplifying this equation, we get dy/dx = -y/x.
Substituting the value of xy = 2, we get dy/dx = -y/x = -2/x2.
Therefore, the correct answer is option D.
Given, xy = 2
Differentiating both sides with respect to x, we get
y(dx/dx) + x(dy/dx) = 0
dy/dx = -y/x
Substitute the value of xy = 2
dy/dx = -y/x = -2/x2
Hence, option D is the correct answer.
Explanation:
The question is based on implicit differentiation.
Implicit differentiation is a method of finding the derivative of a function that is defined implicitly by an equation.
In this case, the equation is xy = 2.
To find dy/dx, we differentiate both sides of the equation with respect to x.
Using the product rule of differentiation, we get y(dx/dx) + x(dy/dx) = 0.
Simplifying this equation, we get dy/dx = -y/x.
Substituting the value of xy = 2, we get dy/dx = -y/x = -2/x2.
Therefore, the correct answer is option D.
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If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is option 'D'. Can you explain this answer?
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If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If xy = 2, then dy/dx isa) -x2/2b) y2c)y/xd) -2/x2Correct answer is option 'D'. Can you explain this answer?.
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