Maple Lab 3 Slope of a Curve

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Presentation transcript:

Maple Lab 3 Slope of a Curve MAT 1234 Calculus I Maple Lab 3 Slope of a Curve http://myhome.spu.edu/lauw

Expectations No communications between groups. You and your partners are supposed to come up with the answers. You are expected to use Maple. Do not use calculators or other internet resources such as Google or other apps. Print B&W is OK.

Objectives To gain an understanding of the concept of the slope of a curve at a point by zooming in on that point. To introduce the definition of the derivative of a function at a point. To see examples where slope, and hence derivative, is not defined.

Example 1 The Tangent Problem Slope=? First we compute the slope of the secant line between x=1 and x=3.

Example 1 Estimate the slope of the tangent line at (1,-2)

Problem 1 @ (1,-2) >plot(f(x),x=-3..4);

Problem 1 @ (1,-2) >plot(f(x),x=0..2);

Problem 1 @ (1,-2) >plot(f(x),x=0.5..1.5);

Problem 1 @ (1,-2) >plot(f(x),x=0.9..1.1);

Problem 1 @ (1,-2) Right Click Probe Info Cursor position

Problem 1 @ (1,-2) (0.9881,-1.9616)

Problem 1 @ (1,-2) (0.9881,-1.9616) (1,-2)

WARNING You are supposed to follow the given methodology. Do NOT use the zoom-in feature in MAPLE. You will be considered “cheating” and your lab grade will be “E”.

WARNING Do Not Reformat the Pages

WARNING If your pages do not align with the original lab, the grader will not grade it and will give your lab a grade of E.

Remark <> is the syntax for “not equal”