Maple Lab 4 Relationship between a Function and Its Derivative

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Presentation transcript:

Maple Lab 4 Relationship between a Function and Its Derivative MAT 1234 Calculus I Maple Lab 4 Relationship between a Function and Its Derivative http://myhome.spu.edu/lauw

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

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]);

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]);

Intervals

Intervals: Use open intervals

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.