* Reading Outline, Sec2.3 * ---------------------------------------- * Vocabulary/Definitions * - How can we estimate, from a graph, the derivative of a function at a point? - Derivative function - Implication of f'>0 and f'<0 - How to estimate derivatives from tabular data (how can this be done more accurately?) - f'(x) for f(x) = k - f'(x) for f(x) = mx + b - f'(x) for f(x) = x^n * Understand * 1. If the graph of a function f(x) passes through the points (0,0), (0.5,0.354), (1,1), (1.5,1.837), and (2,2.828), estimate the value of the derivative function f'(x) at these x-values. 2. Using a formula, find the derivatives of the functions f(x) = 3 - 8x and g(x) = x^{12.8}.