THIS IS MY EFFORT:

I just wanted to know if there are mistakes in my work...

#1

http://i104.photobucket.com/albums/m...emike1/pd1.jpg

#2

http://i104.photobucket.com/albums/m...emike1/pd2.jpg

THANKS FOR THOSE WHO WILL HELP ^_^

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- October 7th 2010, 01:44 AMcutiemike1Chain Rule & Substitution in Partial Derivatives
THIS IS MY EFFORT:

I just wanted to know if there are mistakes in my work...

#1

http://i104.photobucket.com/albums/m...emike1/pd1.jpg

#2

http://i104.photobucket.com/albums/m...emike1/pd2.jpg

THANKS FOR THOSE WHO WILL HELP ^_^ - October 7th 2010, 04:26 AMHallsofIvy
Those are correct. However, I notice that in using chain rule for the second problem, you have

while using direct substitution, you get

Those are, of course, the same because and so that

but the second, with only the variable t is the better expression. - October 7th 2010, 04:39 AMcutiemike1
oh yeah!! since it is

*with respect to t*..thanks a lot for that one...

however, i am just wondering in my number 1 answer...try to take a look in Chain Rule the, are the derivatives under it are correct??**y=re^-s** - October 7th 2010, 04:40 AMcutiemike1
oh yeah!! since it is

*with respect to t*..thanks a lot for that one...

however, i am just wondering in my number 1 answer...try to take a look in Chain Rule ung y=re^-s, are the derivatives under it are correct??