For a level curve of , what is the value of ?
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4 marks, −1MathematicsMultivariable calculusImplicit functions, level curves and second-order conditionsModerateabout 1 min
CUET-PG 2023 Shift 2 Question 31: Multivariable calculus
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For a level curve of f(x,y)=x² y, what is the value of dy/dx? (A) -2x/y (B) (-2y)/x (C) -2 (D) y/x
Also written as: For a level curve of f(x,y)=x^2 y, what is the value of dy/dx?
Multivariable calculus has come up 32 times in 7 exams since 2007.
What this question tests
This question is on Implicit functions, level curves and second-order conditions, part of Multivariable calculus in Mathematics.
Slopes of level curves and implicit functions, and conditions for optima in two variables.
TestStop has 8 past-paper questions on this subtopic.
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Question from the CUET-PG 2023 Shift 2 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.