1. ## Question about derivative function

Hello everyone,

I have a function for which I must first find the derivative implcite.
x ^ 3 + y ^ 3 = 6XY, nothing fancy so far:

However, just after i been asked to calculate y'(0)?

I think so, y'(0) = 2/y ! I stuck there because it seems I need a number. So without a variable. Any an idea?

thank you

2. have a look at the graph of the relation ...

regards

4. Of course, from the original equation, when x= 0, y= 0 also. That's why you cannot use your formula- you get 0/0. And, as skeeter's graph shows, there are two distinct derivatives at x= 0, one 0 and the other infinite.

5. So basicly what you are saying is y'(0) = 0 right? and the other infinite?!

6. Wouldn,t it be better if i try i just try to calculte in a point A (0,0) like on the graph and just give the infinite answer?