University Calculus Early Transcendentals section 13.7 problem 28 finding all the local maxima, local minima, and saddle points of the function. F(x,y)=e^x(x^2-y^2). After finding (x^2-2x+y^2)e^x=0 and -2ye^x=0. How are they solved to find(x,y)=(0,0) and (-2,0)
University Calculus Early Transcendentals section 13.7 problem 28 finding all the local maxima, local minima, and saddle points of the function. F(x,y)=e^x(x^2-y^2). After finding (x^2-2x+y^2)e^x=0 and -2ye^x=0. How are they solved to find(x,y)=(0,0) and (-2,0)
University Calculus Early Transcendentals section 13.7 problem 28 finding all the local maxima, local minima, and saddle points of the function. F(x,y)=e^x(x^2-y^2). After finding (x^2-2x+y^2)e^x=0 and -2ye^x=0. How are they solved to find(x,y)=(0,0) and (-2,0)
University Calculus Early Transcendentals section 13.7 problem 28 finding all the local maxima, local minima, and saddle points of the function. F(x,y)=e^x(x^2-y^2). After finding (x^2-2x+y^2)e^x=0 and -2ye^x=0. How are they solved to find(x,y)=(0,0) and (-2,0)
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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