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Determine partial derivatives are positive or negative

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Reference no: EM131082091

Quiz 4 - Math 53, section 213

1. Level curves are shown for a function f. Determine whether the following partial derivatives are positive or negative at the point P.

(a) fx

(b) fy

(c) fxx

(d) fxy

(e) fyy

2. If z = f(x, y) where f is differentiable, and x = g(t), y = h(t), g(3) = 2, h(3) = 7, g'(3) = 5, h'(3) = -4, fx(2, 7) = 6, and fy(2, 7) = 8, find dz/dt, when t = 3.

Reference no: EM131082091

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