contour map
estonia, map, flag @ Pixabay

A function is given on the left side of a graph. On the right, you are shown a contour map for this function. Use this to estimate fx(2, 1) and fy(2, 1). {f(x, y) = x^y – y} We see that the function is continuous everywhere; this means fx can be found at any point by simply calculating it for two points close to one another. For example, if we choose (0.99,-0.00), and (-0.998,- 0). The difference between these two values of fx is approximately .001: fx(0.99+, -0):-.0012242100851581430883479183622912989088071348782960627254280692435887168418733907225976738821164605932865195897 fx(0.99+, -0):-.0012242100851581430883479183622912989088071348782960627254280692435887168418733907225976738821164605932865195897 fy(-0.99, 0)f: .001203042790461307236504454776303289687326906377890557592175562156648488573684557734927433894490949032791797538098605671- fy(-x, y), where x and y are the two points close to each other used to estimate f(x, y) = x^y – y. fy(-0.99, 0): .001203042790461307236504454776303289687326906377890557592175562156648488573684557734927433894490949032791797538098605671- fy(-x, y), where x and y are the two points close to one another used to estimate ƒ(x,y). To find fx at point (a b), we simply plug a and b into our equation: ƒ(a+b,-c)=ab*bc-. This is equivalent to

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