Below is a function f. We are interested in how changes in the values of the input variables x, y or parameters a, b, c affect f. To that aim, we write f as a function of both its input variables and its parameters, using the notation f(x, y; a, b, c). The "gradient of f towards v", denoted as V,f, is the vector of all partial derivatives of f to the variables/parameters listed in v. Fill in the boxes. fx, y; а, b, c) %3 а еxp(2x) + by? + сху • Vyf(x, y; a, b, c) = x,y. Vabof(x, y; a, b, c) = If 8, e are very small real numbers, what is f(1,2; 3,4 + 8,5 + e) – f(1,2; 3,4,5) approximately? Explain how you obtained the answer. Answer: Explanation:

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