help with derivatives: derivative of x^2 + y^2 = 9

Re: help with derivatives 2

Implicit differentiation is easiest. You could also solve for y and differentiate.

\(\displaystyle x^{2}+y^{2}=9\)

\(\displaystyle 2x+2yy'=0\)

Solve for y'. Do the same with the standard method. See if you get the same thing.
 
bobithjones said:
what is the derivative of x^2+y^2=9
Click to expand...
With respect to what variable are you differentiating? (This sort of equation often arises in "related rates", where one is usually differentiating distances x and y with respect to time t.)

Thank you! :D

Eliz.
 
You must log in or register to reply here.
Top