Given this function: f(x,y) = a) How large is the directional derivative at the point (-1,2)...
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Given this function: f(x,y) = a) How large is the directional derivative at the point (-1,2) in the direction of the origin. b) In which direction does f increase most in the point (-1.2)? How big is the directional derivative in this direction? c) Find the stationary / critical points of the function. d) Classify the stationary / critical points. f) Find a formula for the tangent plane of the function in the point (1,1,2). g) Use the formula for the tangent plane to approximate the value of the function in the point (x, y) = (0.9, 1.1). How big is the difference between approximate and exact value. Given this function: f(x,y) = a) How large is the directional derivative at the point (-1,2) in the direction of the origin. b) In which direction does f increase most in the point (-1.2)? How big is the directional derivative in this direction? c) Find the stationary / critical points of the function. d) Classify the stationary / critical points. f) Find a formula for the tangent plane of the function in the point (1,1,2). g) Use the formula for the tangent plane to approximate the value of the function in the point (x, y) = (0.9, 1.1). How big is the difference between approximate and exact value.
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a At the point 1 2 the function is not changing in the direction of the origin so the directiona... View the full answer
Related Book For
Entrepreneurship & Small Business Management
ISBN: 978-0133767186
2nd edition
Authors: Steve Mariotti, Caroline Glackin
Posted Date:
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