13 Derivatives in many variables
TipTheorem (Stewart, Clegg, and Watson 2020, 14.7.2)
If \(f = f(x,y)\) has a local maximum or minimum at \((x_0,y_0)\), then \(f_x(x_0,y_0) = 0\) and \(f_y(x_0,y_0) = 0\).
Coming soon
Stewart, James, Daniel K. Clegg, and Saleem Watson. 2020. Calculus: Early Transcendentals. 9th ed. Cengage Learning.