Question 3 (a) Find the first and second derivative of the following function, in which a and b are real constants. b y = ae* (b) Find equations of the tangent line and normal line to the curve y = 2xe* at the point (0,0). (c) If F(x) = f(g(x)), where f(3) = 3, f '(3) = 3, f '(2) = 2, g(2) = 3, and g'(2) = 6, %3D find F'(2). (d) Find dy/dx by implicit differentiation. x²y? + x sin(y) = 3

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