Q12. Find the maximum and the minimum of f on specific domains D₁ and D₂ if they exist. Graph the functions on Excel. (1

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Q12 Find The Maximum And The Minimum Of F On Specific Domains D And D If They Exist Graph The Functions On Excel 1 1 (82.68 KiB) Viewed 14 times

Q12. Find the maximum and the minimum of f on specific domains D₁ and D₂ if they exist. Graph the functions on Excel. (1) x³ + 3x on D₁ = (-∞, ∞) and D₂ = [1,2]. (2) x³ - - 3x on D₁ = [-4, -2] and D₂ = [0, ∞). (3) on D₁ 1 1+x2 = (-∞, ∞) and D₂ = [1,2]. (4) |x − 1| on D₁ = (-∞, ∞) and D₂ = [0, 2]. Q13. For each of the following functions, compute partial derivatives: (1) u(x, y) = 7x²y³ (2) u(x, y) = 3x² (8x - 7y) (3) u(x, y) = (5x² + 7y) (2x − 4y³) (4) u(x, y) 9y³ = x-y (5) u(x, y) = (x − 3y)³