EDUCATION Lecture Notes - Lecture 3: Graph Of A Function
Document Summary
Draw the graph using graphing apps as guide. Determine the derivative as the slope of the tangent line . Draw the two tangent lines to your parabola at two different points. Graph y = (x+2)(x-4) f(x) = x - 2x - 8. Derivative f(x+h)-f(x) lim h->0 h f(x) = (x+h) - (2x+h) - 8 - (x -2x - 8) 2 x + 2xh + h -2x + h - 8 - x -2x - 8. 0 h h f(x) = 2x - 1. Slope m = 2x - 1 m = 2(2) - 1 m = 3 m = 2x - 1 m = 2(-1) - 1 m = -3. Equation y - (-8) = 3 (x - 2) y - (-8) = 3x - 6 y = 3x + 2. Pt b (-1, -5) y - y = m (x - x )
