Calculus 3 Quiz
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MULTIVARIABLE FUNCTIONS & PARTIAL DERIVATIVES
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A function h(x,y)h(x,y) has critical points at A(1,2)A(1,2), B(−1,0)B(-1,0), and C(0,1)C(0,1). The second derivative test gives: at AA: hxx=4h_{xx} = 4, hyy=6h_{yy} = 6, hxy=−1h_{xy} = -1; at BB: hxx=−2h_{xx} = -2, hyy=−3h_{yy} = -3, hxy=2h_{xy} = 2; at CC: hxx=2h_{xx} = 2, hyy=−1h_{yy} = -1, hxy=3h_{xy} = 3. How many local extrema does the function have?
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