   Chapter 13.2, Problem 9E

Chapter
Section
Textbook Problem

# Find the derivative of the vector function.9. ⟨ t  - 2 , 3, 1/t2⟩

To determine

To find: The derivative of the vector function r(t)=t2,3,1t2.

Explanation

To find the derivative of the vector function, differentiate each component of the vector function.

Differentiate each component of the vector function r(t)=t2,3,1t2 as follows.

ddt[r(t)]=ddt(t2),ddt(3),ddt(1t2)

Rewrite the expression as follows.

r(t)=ddt(t2)12,0,ddt(t2)=12(1)(t2)121,0,(2)(t21

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