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Maple Lab 4 Relationship between a Function and Its Derivative

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1 Maple Lab 4 Relationship between a Function and Its Derivative
MAT 1234 Calculus I Maple Lab 4 Relationship between a Function and Its Derivative

2 Objectives Given the graph of a function, be able to visualize the graph of its derivative.

3 Use Maple to Find Derivatives
>f:=x->x^2+sin(x); >g:=diff(f(x),x); >plot([f(x),g],x=-2..2,color=[red,green]);

4 Use Maple to Find Derivatives
>f:=x->x^2+sin(x); >h:=D(f); >plot([f(x),h(x)],x=-2..2,color=[red,green]);

5 Intervals

6 Intervals: Use open intervals

7 Remarks End points are not considered as high or low points in this lab. Use Probe Info to estimate the x-coordinates When needed, restrict the range for y to see a better picture.


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