Question 2. Calculus (10 marks) (a) Find all first and second partial derivatives of the following function: f (x, y) =

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Question 2 Calculus 10 Marks A Find All First And Second Partial Derivatives Of The Following Function F X Y 1 (78.96 KiB) Viewed 20 times

Question 2. Calculus (10 marks) (a) Find all first and second partial derivatives of the following function: f (x, y) = exy + y sin x. (3 marks) Check if the mixed second partials coincide or not. (b) What is the equation of the plane that is tangent to the graph of z = x cos y – ye", = when (x, y) = (0,0)? (2 mark) (c) Find the value of the derivative of g(x, y) = xły + xy2 with respect to t at t = 2/6 when we restrict to the curve defined by x = cost and y sint. (2 marks) =