Suppose f (x, y) = 25 −4x2−3y2. Calculate both fx(1, −1) and fy(1, −1). Sketch (by hand, or, better, using software of your choice) some level curves for the function f . Use these sketches to interpret your answers as slopes.
Suppose f (x, y) = 25 −4x2−3y2. Calculate both fx(1, −1) and fy(1, −1). Sketch (by hand, or, better, using software of your choice) some level curves for the function f . Use these sketches to interpret your answers as slopes.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Suppose f (x, y) = 25 −4x2−3y2. Calculate both fx(1, −1) and fy(1, −1). Sketch (by hand, or,
better, using software of your choice) some level curves for the function f . Use these sketches to
interpret your answers as slopes.
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