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We are doing direction derivatives in class and our lecturer is not really explaining much at all. I can't seem to understand how the direction vector is found at all. There is this question where the directional derivative is to be found at 1 point in the direction of another given point. I keep getting the direction vector wrong. Our lecturer didn't really clear up how the direction vector actually works and I still am not clear about it. It would be great if anyone can explain to me how the direction vector for let's say the following question is found:
Find the directional derivative of f(x,y,z)=y/(x+z) at P(2,1,-1) in the direction from P to Q(-1,2,0).
PS: I know how to normalize it direction vector but I don't know how to get it HELP PLEASE!
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