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5. x² +7y° For the function f(x,y)= x° find f, fy, f,(-5,-4), and f (0.-2). + y

5. x² +7y° For the function f(x,y)= x° find f, fy, f,(-5,-4), and f (0.-2). + y

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the function \( f(x, y) = \frac{x^5 + 7y^6}{x^6 + y^7} \), find \( f_x \), \( f_y \), \( f_x(-5, -4) \), and \( f_y(0, -2) \). \( f_x = \) \(\_\_\_\_\_\) \( f_y = \) \(\_\_\_\_\_\) \( f_x(-5, -4) = \) \(\_\_\_\_\_\) (Round to the nearest thousandth as needed.) \( f_y(0, -2) = \) \(\_\_\_\_\_\) (Round to the nearest thousandth as needed.)
Transcribed Image Text:For the function \( f(x, y) = \frac{x^5 + 7y^6}{x^6 + y^7} \), find \( f_x \), \( f_y \), \( f_x(-5, -4) \), and \( f_y(0, -2) \). \( f_x = \) \(\_\_\_\_\_\) \( f_y = \) \(\_\_\_\_\_\) \( f_x(-5, -4) = \) \(\_\_\_\_\_\) (Round to the nearest thousandth as needed.) \( f_y(0, -2) = \) \(\_\_\_\_\_\) (Round to the nearest thousandth as needed.)
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