(b) f(x) = sin(2x) /2x on the interval [0, 27] (ATTENTION: The x is not...

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(b) f(x) = sin(2x) – /2x on the interval [0, 27] (ATTENTION: The x is not inside the square root) - The Ten-Step Procedure for Sketching the Curve y = f(x) I. Find the domain of f (unless it has already been given), and then find the asymptotes (vertical, horizontal or slant) of the graph and any holes in the graph or state that those features do not apply to the function's graph. II. Compute and simplify f'(x), showing all of your work. III. Find the critical numbers of f. IV. Find the open intervals on which f is increasing and those on which it is decreasing. V. List the relative maximums and minimums, giving both x and f(x) values. VI. Compute and simplify f"(x), showing all of your work. VII. Find the x-values where f"(x) = 0 or is undefined. %3D VIII. Find the open intervals on which the graph of y = f(x) is concave up and those on which it is concave down. IX. List the points of inflection as POINTS! X. Sketch the graph of y = f(x) using the information found above. (b) f(x) = sin(2x) – /2x on the interval [0, 27] (ATTENTION: The x is not inside the square root) - The Ten-Step Procedure for Sketching the Curve y = f(x) I. Find the domain of f (unless it has already been given), and then find the asymptotes (vertical, horizontal or slant) of the graph and any holes in the graph or state that those features do not apply to the function's graph. II. Compute and simplify f'(x), showing all of your work. III. Find the critical numbers of f. IV. Find the open intervals on which f is increasing and those on which it is decreasing. V. List the relative maximums and minimums, giving both x and f(x) values. VI. Compute and simplify f"(x), showing all of your work. VII. Find the x-values where f"(x) = 0 or is undefined. %3D VIII. Find the open intervals on which the graph of y = f(x) is concave up and those on which it is concave down. IX. List the points of inflection as POINTS! X. Sketch the graph of y = f(x) using the information found above.

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