W Question 4 (4 marks) Show that the left hand sides and the right hand sides are equal in the following equations (with appropriate restrictions on the variables.) (a) Inx - 2 = In(2). (b) 3 + 2Inx = In(e3x2). Question 5. (8 marks) (a) Suppose y = f(g(x)). State the chain rule. That is , what is y' = dy? Now, suppose f(x) = 24 - 2, g(x) = x3 + x and y = f(g(I)). (b) Find dy/ dr. (c) Find d' y / dx2. Question 6. (8 marks) Let y = f(x). (a) Write down the general formula for the equation of the line tangent to f(x) at the point a = a. Now, consider the implicit function: 3 + 3x2y = 13. (b) Find dy/dx (c) Compute the equation for tangent line at (2, y) = (2, 1). Question 7. (10 marks) (a) Solve the following for I: (i) 22z = 8 (ii) 1023-2742 = 100 (iii) (24 + 1) (4 + 2) =0 MacBook Pro esc 30 838 FS S