Question
Show a numerical method for approximating the instantaneous rate of change at x = 3 for the function given by ƒ(x) = - 2x2 + 4x + 1 using slopes of secants.
Answers
oobleck
find f(4), f(3.5), f(3.2), f(3.1), f(3.01)
Now find the slopes of the secants from (3,f(3)) to each of the points.
Watch how it converges to the tangent line at x=3.
Now find the slopes of the secants from (3,f(3)) to each of the points.
Watch how it converges to the tangent line at x=3.