The above countour map is given for a function f(x,y). Use it for estimate the valur of the partial derivatives f_x(2,1) and f_y(2,1)

tricotasu

tricotasu

Answered question

2021-05-04

The above countour map is given for a function f(x,y). Use it for estimate the valur of the partial derivatives f_x(2,1) and f_y(2,1)

Answer & Explanation

SkladanH

SkladanH

Skilled2021-05-05Added 80 answers

Your derivative:

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user_27qwe

user_27qwe

Skilled2021-12-09Added 375 answers

Solution: We can estimate fx by observing that as r goes from 1.5 to 2.5, with y=1 fixed, f seems to go from about 9 to 12. Therefore fx(2,1) is approximately 3. As y goes from 0.5 to 1.5, with =2 fixed, f goes from about 11 to about 9, so fy(2,1) is roughly -2.

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