Points satisfying Partial Derivatives
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Questions and Answers

What are all the points satisfying f_{x}(x,y)=0 and f_{y}(x,y)=0 called?

  • Critical points (correct)
  • Inflection points
  • Maximum points
  • Saddle points
  • Which term is used for the points that satisfy f_{x}(x,y)=0 and f_{y}(x,y)=0?

  • Global maxima
  • Singular points
  • Saddle points (correct)
  • Local maxima
  • What do we call the points where f_{x}(x,y)=0 and f_{y}(x,y)=0 both hold true?

  • Critical points (correct)
  • Extreme points
  • Optimal points
  • Boundary points
  • What term refers to the solutions of f_{x}(x,y)=0 and f_{y}(x,y)=0?

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