Find all of the higher-order derivatives of x(t)=

Question

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).

Quizplus · Accepted Answer

The Answer of 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).