Solve the following equations and inequalities: (4) (4) (5) (6) Solve the following equations simultaneously forand: and (7) QUESTION 2 [17] Given the function,, Show that, ifis a factor of. (2) Hence, factorisefully. (4) Find the coordinates of the turning points of. (5) Find the coordinates of the point of inflection of. (3) Sketch the graph of, showing the coordinates of all intercepts with the axes, turning points and point of inflection. (3) QUESTION 3 [11] Using first principles, find the derivative of the function . (5) Given, determine the equation of the tangent to the curve ofat the point where the gradient is equal to . (6)
Solve the following equations and inequalities: (4) (4) (5) (6) Solve the following equations simultaneously forand: and (7) QUESTION 2 [17] Given the function,, Show that, ifis a factor of. (2) Hence, factorisefully. (4) Find the coordinates of the turning points of. (5) Find the coordinates of the point of inflection of. (3) Sketch the graph of, showing the coordinates of all intercepts with the axes, turning points and point of inflection. (3) QUESTION 3 [11] Using first principles, find the derivative of the function . (5) Given, determine the equation of the tangent to the curve ofat the point where the gradient is equal to . (6)
Grade%2012%20Prelim%20P1%20July%202014%20FINAL.docx