1. Write the limit definition of the derivative of a function f(r) and use this definition to compute f'(x) for f(x) = 2x2-5 2. Consider the function f(x) = HIN -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 -4.5 -5 a) Find the average rate of change on the following intervals: (1 ) RE - 2, - 2 (ii) x E [-2, -1] b) Use the graph to estimate the instantaneous rate of change at x = -2 c) Use the limit definition of derivative to find f'(-2)