# Let f be a multivariable function defined by - 94837

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## shri21

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• From: Mathematics, Calculus
• Posted on: Wed 20 Jan, 2016
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Let f be a multivariable function defined by f(x, y) = x3y – x2y2 where x and y are real numbers. Choose the same point to use as you work to complete parts A through D of the task. A. Explain how to find the direction of maximum increase for f at your chosen point, showing all required work. B. Explain how to find the direction of maximum decrease for f at your chosen point, showing all required work. C. Explain how to find the equation of the tangent plane to f at your chosen point, showing all required work. D. Explain how to find the equation of the normal line to f at your chosen point, showing all required work. E. Demonstrate that the second derivative test for local extreme values of f is inconclusive for any point on the y-axis.
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