Asked by Brittany
"Use difference quotients with delta(x)=0.1 and delta(y)=0.1 to estimate fx(1,3) and fy(1,3) where f(x,y)=e^(-x)sin(y)."
I don't know how to solve this problem. Could someone walk me through it? Thank you so much!
I don't know how to solve this problem. Could someone walk me through it? Thank you so much!
Answers
Answered by
Joseph
a) find the partial derivatives of each, and just plug in 1 for x and 3 for y (values should be close to 0)/
b) in using the difference quotients, take the limit as h approaches infinity of both each derivative, plugging in 0.1 for x and y in each one. It's better that you think critically about how the definition of the derivatives applies not only in 2D, but in 3-space as well. You'll gain a better intuition.
b) in using the difference quotients, take the limit as h approaches infinity of both each derivative, plugging in 0.1 for x and y in each one. It's better that you think critically about how the definition of the derivatives applies not only in 2D, but in 3-space as well. You'll gain a better intuition.
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