(10) Let f(x, y) = y²cos(x) = x³ ln(y) Hint: Recall that cos(x)=sin(x) and sin(x) = cos(x) ...Hessian matrix of this function.

Find f. f ‴(x) = cos(x),    f(0) = 4,    f ′(0) = 8,    f ″(0) = 3

i) Let f(r) = e2-g(x) where g(2) = -1 and g'(2) = 7, and g"(2) to calculate f"(2). Show your work. 3. = -4. Use the product rule twice Hint. e2 = (e")2. ii) Let F(x) = f(xf(rf(x))) where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6. Calculate F'(1). Show your work.