Finding directions of maximum, minimum, and zero rate of change
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+shafique dassu If you graph it you will understand. Z=(x^2)+(y^2) becomes z-(x^2)=(y^2) which becomes + or - sqrt((x^2)+z) where z is some constant. when z is positive the hyperbolas' are across the y-axis. when z is negative the hyperbolas' are across the x-axis
+BeyondSkys09 Your comment is dumb. If you attended any accredited
university, except perhaps an online school like the University of Phoenix,
you would find that all math departments still use chalk boards especially
for large introductory classes like Calculus III, which this video is for.
Blackboards are big enough to see in large lecture halls and provide
professors the mobility they need to lecture easily and get rid of
mistakes they may possibly make quickly.
+Michael Donovan same here at University of Wisconsin - Madison. All math and chemistry lecture halls/classrooms all use chalkboards. They don't smell bad like whiteboards lol.
+BeyondSkys09 Dawg are you for real. Its MIT. They can write on toilet paper for all I care. If it wasn't for opencourseware I and many other engineers/ scientists would be screwed. And yah I dont mind white boards. My only problem is that I have been unfortunate enough to have most of my professors right in green marker in a room that has an overall green tint. It just straines the eyes after a while.
Not necessarily. My university uses whiteboards for all math classes. Comments about chalk boards being old = bad are pretty silly though.
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