3. [5 marks] Find all the values of m such that 4. [5 marks] Let f(x) = >. Use a definition of the derivative to find f'(x). No credit will be given for solutions using differentiation rules, but you can use those to check your answer. f (x ) = 623 - 2m ifx 5 -1 2x2 + 5m if x> -1 is continuous. Answer: Answer: Student number: 6 Student number: 75. [5 marks] Suppose the function f(x) is defined and continuous on all real numbers, and 6. [5 marks] Pictured below is the graph of a function. On the blank set of axes, sketch that the graph of its derivative. lim f( 5+ h) - 3 h :-5. y Given this information, we can find the equation of the tangent line to the curve y = f(x) at a particular point. What is the point, and what is the slope of the tangent line to the curve y = f(x) at that point? Answer: Student number: 8 Student number