Question

Q.3 Consider the function Ax.y)-ete, and consider the point (x, y (1,1). (a) Calculate the exact value of of /ox and of loy at this point. (4 marks) (b) Use first-order forward differences, with Δ-Δ-0.1, to calculate approximate values of oflax and ofly at point (1,1). Calculate the percentage difference when compared with the exact values from part (a). (6 marks) (c) Use second-order central differences, with Δ,-Δι-0.1, to calculate approximate values of ofax and ofy at point 1). Calculate the percentage difference when compared with the exact values from part (a). (6 marks)

Hello, I'm not quite sure how to begin with part B. My lecturer said to use the derivatives, but I'm not quite sure what she means. Thank you.

Answer 1

Points NoD lek 2- Now zte.4 e*) eyle Je@-(ǐ.) ; @ym) at -tee point is(L) to exatk valiue

x) Aloo we hvetoulokd them 1.1 o. -ל0.341-2.782 zj .er KIDO let ay (c) 규cs- second-enda Cenhal difful nty and the at fi* pont

-> ws. can use -fo Backoal different判 2-5867- -48 Ay to o k difference shas Compared by