We will investigate the vector function r(t) = tcos(t) i + tsin(t) j +e^t k 

Now define some options for our plots 

Let's see what the curve r looks like 

To take a derivative in Maple, use the diff(...)function. Specify the expression and the variable - diff(expression, variable) 

The derivative of r is the velocity vector, v:  

And the second derivative of r (the derivative of v) is the acceleration vector: 

We can compute the Unit Tangent Vector T 

And we can easily compute the Unit Normal Vector 

Wasn't that easy? 

Let's try another...First reset our variables 

In the following, don't type the letter e for e^t. Use the expression box on the left to pick out e^a or use exp(t) 

Beats doing it by hand!