Derivatives and Integrals of Vector Functions: Examples

1. 1. Find the derivative of the following vector: <9*t^2,(1/t^2)+5,t^(1/2)>

Anwser:
To find the derivative of the vector function, simply use the diff command. Note: we need to activate the VectorCalculus package

>	with(VectorCalculus);

>	diff(<9*t^2,(1/t^2)+5,t^(1/2)>,t);

2. Find the integral of the function from problem one:

Anwser:
To find the integral of the vector function, simply use the int command.

>	int(<9*t^2,(1/t^2)+5,t^(1/2)>,t);