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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.1 Vector Fields, #34 · Multivariable Calculus · Vector calculus

The derivative of … is

The derivative of $f (x, y) = c$ is $f_{x} + f_{y} (d y / d x) = 0$ . Show that the slope of this level curve is $d y / d x = - M / N$ . It is perpendicular to streamlines because $(- M / N) (N / M) =$ ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.1 Vector Fields, #34

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