Suppose is defined by . At this function
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2 marksMathematicsMultivariable calculusImplicit functions, level curves and second-order conditionsModerateabout 3 min
DSE 2007 Question 48: Multivariable calculus
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Suppose f:ℜ²→ℜ is defined by z=xy. At (0,0) this function (A) Attains a maximum (B) Attains a minimum (C) Attains a saddle point (D) Is undefined
Also written as: Suppose f: Re^2-> Re is defined by z=xy. At (0,0) this function
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 DSE 2007 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.