Student Questions 10-7-14
Have you played Shadow of Mordor?
I have not.
Where are you from?
I grew up in Burlington, IA.
What should I have for dinner?
Ice-cream.
What is your favorite sport to play?
I like TaeKwonDo and acrobatics. I can do a backfip, aerial and many other things.
What was the thing we didn’t get to today?
I wanted to also talk about directional derivatives but we did not have time. The
derivative of a function f at the point p0 in the direction of the vector ~u is calculated as
~u
.
∇f (p0 ) ·
||~u||
How do you find the range of a function?
The range is all possible outputs you can get from the function. So you just have think:
”If I can plug any point into the function what are all of the possible numbers I can get
as an output?”. For example the range of f (x, y) = x2 y 2 can attain every positive value
but can never be negative so the range is {z|z ≥ 0}.
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