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# Gradient orthogonal to tangent Suppose that a

ISBN: 9780321717399 65

## Solution for problem 8AAE Chapter 13.AAE

University Calculus: Early Transcendentals | 2nd Edition

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Problem 8AAE

Gradient orthogonal to tangent Suppose that a differentiable function ƒ(x, y) has the constant value c along the differentiable curve x=g(t),y=h(t);that is,  for all values of t. Differentiate both sides of this equation with respect to t to show that  is orthogonal to the curve’s tangent vector at every point on the curve.

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