Hi

Could someone please show me how to do question 12?

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- Apr 3rd 2010, 12:57 AMxwrathbringerxImplicit Differentiation
Hi

Could someone please show me how to do question 12? - Apr 3rd 2010, 01:19 AMSudharaka
- Apr 3rd 2010, 03:29 AMxwrathbringerx
Hmm how exactly do I know that the tangents are horizontal and vertical?

Also could you please show me how to do (b) and (c)...I have no idea how to do them (Crying) - Apr 3rd 2010, 04:47 AMHallsofIvy
A horizontal line has slope 0, a vertical line does not have a slope.

For (b) you are to show that .

Starting from the original equation, , divide both sides by to get . Now multiply both sides by y/x.

For (c) you need to know that . - Apr 3rd 2010, 05:03 AMxwrathbringerx
hmmm for (b), when x = infinity, shouldnt y/x = infinity too? (since y/x = x/3 + y^2/3x^2?)

- Apr 3rd 2010, 05:43 AMSudharaka
- Apr 3rd 2010, 05:46 AMxwrathbringerx
the 1st part of (b) says "show ...". I cross multiplied this to obtain it with y/x =

- Apr 3rd 2010, 05:53 AMSudharaka
- Apr 3rd 2010, 05:57 AMxwrathbringerx
Ooops

Bur Sudharaka, doesnt that still give infinity? - Apr 3rd 2010, 06:09 AMSudharaka
- Apr 3rd 2010, 06:16 AMxwrathbringerx
OH

But I dont get it.Why did the question say y/x -->**-1**? - Apr 3rd 2010, 06:24 AMSudharaka