Use a CAS to perform the following steps for the function. a. Plot y = (x) over

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Use a CAS to perform the following steps for the function.


a. Plot y = ƒ(x) over the interval (x0 - 1/2) ≤ x ≤ (x0 + 3).


b. Holding x0 fixed, the difference quotientimage


at x0 becomes a function of the step size h. Enter this function into your CAS workspace.


c. Find the limit of q as h→ 0.


d. Define the secant lines y = ƒ(x0) + q · (x - x0) for h = 3, 2, and 1. Graph them together with ƒ and the tangent line over the interval in part (a).


ƒ(x) = x + sin (2x), x0 = π/2

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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