Provide an appropriate response.If the position of a particle moving along the x-axis at a given time is given by x(t) = t4 + 5t3 - 7t + 19, find all the higher-order derivatives of this function.
What will be an ideal response?
x'(t) = 4t3 + 15t2 - 7, x''(t) = 12t2 + 30t, x'''(t) = 24t + 30, x(4)(t) = 24, x(5) = 0. All successive derivatives are also 0.
Mathematics
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A. 
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A. 
- 2
B. 2
- 8
C. - 2
+ 8
D. 
- 4
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A. 4
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C. 2
D. 
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