Name:________________________ Date:________________________ AP Calculus BC Class Activity 2: Derivatives and Tangents Evaluate the following limits using the limit definition of derivative and known shortcuts: Find the equation of the tangents lines to the functions below at the given point: 6. Use the table below to answer the following questions: x -2 1 2 6 f (x) 4 8 9 1 Find the average rate of change over the interval (1, 6). Estimate the instantaneous rate of change at the point x = 1. Find where the following functions are differentiable: 10. Find the values of a and b so that g (x) is continuous and differentiable: