Let C be the contour C of f(x, y) through (a, b) andgrad f(a, b) = 0 . Show that(a) The
Chapter 14, Problem 87(choose chapter or problem)
Let C be the contour C of f(x, y) through (a, b) andgrad f(a, b) = 0 . Show that(a) The vector fy(a, b)i + fx(a, b)j is tangent to Cat (a, b).(b) The slope of the line tangent to C at the point (a, b)is fx(a, b)/fy(a, b) if the tangent line is not vertical.
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