Homework 4 The Derivative Function

code for graph paper

Exercise 4.1: Using the procedure used in Example 4.1, find the derivative function for y = [Maple Math] .
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Exercise 4.2: Using the procedure that we used in Examples 4.2 and 4.3, find the derivative: Please show every step clearly.

(a) y = [Maple Math] ,

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(b) y = [Maple Math] ,

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(c) y = [Maple Math] (where a, b, and c are constants),

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(d) y = [Maple Math] .

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code foe diagrams in exercise 3

Exercise 4.3: For each of the following two graphs [Maple Math] , use graphical differentiation to sketch the graph of the derivative function. For x at regular intervals from one end of the domain to the other, estimate the derivative [Maple Math] using a ruler, as explained in the text. Show clearly the points where the derivative is zero and where the derivative does not exist (or is infinite).

[Maple Plot]

[Maple Plot]

[Maple Plot]

[Maple Plot]

Exercise 4.4: The 24 graphs below conists of twelve functions and their derivatives . Match each of these graphs with the one that looks most like it could be the function or its derivative.

code to make the following graphs

[Maple Plot]

[Maple Plot]

[Maple Plot]

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