And place them in the formula. x and y will be the numbers that appear in the question, and the points
x0,y0
will be the closest values to x and y respectively, which are easy for calculations.
In our exercise, we will define
x=0.02,y=2.03
because these values appear in the question. And we set
x0=0,y0=2
because they are the closest values to x and y respectively that are easy for calculations.
After we have defined x and y, it is easy to find the function. Just put x instead of the number we set to be x and put y instead of the number we set to be y. In this way, we get the function
f(x,y)=5ex+y2
In the formula above we see the function partial derivatives. Hence, we calculate them.
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