Let f ( x , y ) = x y e x 2 + y 2 . Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. ( Hint: First factor e 2 from the limit and then evaluate the quotient at smaller and smaller values of h .) a. lim h → 0 f ( 1 + h , 1 ) − f ( 1 , 1 ) h b. lim h → 0 f ( 1 , 1 + h ) − f ( 1 , 1 ) h
Let f ( x , y ) = x y e x 2 + y 2 . Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. ( Hint: First factor e 2 from the limit and then evaluate the quotient at smaller and smaller values of h .) a. lim h → 0 f ( 1 + h , 1 ) − f ( 1 , 1 ) h b. lim h → 0 f ( 1 , 1 + h ) − f ( 1 , 1 ) h
Solution Summary: The author explains how to find the value undersethto 0mathrmlimf(1+h,1).
Let
f
(
x
,
y
)
=
x
y
e
x
2
+
y
2
. Use a graphing calculator or spreadsheet to find each of the following and give a geometric interpretation of the results. (Hint: First factor
e
2
from the limit and then evaluate the quotient at smaller and smaller values of h.)
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