notation check?

Mar 03, 2007 10:13

Hi, I started taking Calculus this year in HS. I have this assignment which I completed, but I'm not sure if my notations are right. My teacher is OCD about notation, and takes half a mark off each time I use y=f(x), dy/dx, d/dx, etc. wrong. I went over the assignment with a fine-toothed comb, and don't seem to find any mistakes, but coming from a person that lost 15 marks total on her last test for wrong notation? I don't trust myself. :D

This page answers the following:
1a) use implict differentiation to find dy/dx of given equation
b) y as an explicit function of x
c)use equation from b to find dy/dx

This page answers the following:
d) show that the results from a and c are equivalent <- the therefore statement of this quesiton is the one I think I'm completely making up.
2) differentiate the given equation implicitly

This page answers the following:
3) differentiate give equation implicitly
and the beginning of 4) d^2y/dx^2 for given equation amd continues on to this page. I don't think my answer is correct for this one though, cause I have yet to take the dy/dx out from the equation...

Any help is INSANELY appreciated. Thanks so much!
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