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    Exam 13: Additional Differentiation Topics
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    Find All of the Higher-Order Derivatives of X(t)=
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Find All of the Higher-Order Derivatives of X(t)=

Question 27

Question 27

Essay

Find all of the higher-order derivatives of x(t)= Find all of the higher-order derivatives of x(t)=    - 3    - x.Use your graphing calculator to graph x(t)and x'(t)on the same axes.Verify that when x(t)is decreasing (sloping downward),the value of x'(t)is negative.Repeat this for x'(t)and x''(t),for x''(t)and x'''(t),and for x'''(t)and    (t).
- 3 Find all of the higher-order derivatives of x(t)=    - 3    - x.Use your graphing calculator to graph x(t)and x'(t)on the same axes.Verify that when x(t)is decreasing (sloping downward),the value of x'(t)is negative.Repeat this for x'(t)and x''(t),for x''(t)and x'''(t),and for x'''(t)and    (t).
- x.Use your graphing calculator to graph x(t)and x'(t)on the same axes.Verify that when x(t)is decreasing (sloping downward),the value of x'(t)is negative.Repeat this for x'(t)and x''(t),for x''(t)and x'''(t),and for x'''(t)and Find all of the higher-order derivatives of x(t)=    - 3    - x.Use your graphing calculator to graph x(t)and x'(t)on the same axes.Verify that when x(t)is decreasing (sloping downward),the value of x'(t)is negative.Repeat this for x'(t)and x''(t),for x''(t)and x'''(t),and for x'''(t)and    (t).
(t).

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x'(t)= 4 blured image_TB6578_11 - 6x - 1,x...

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