I have two functions
r = g (x,y)
s = h (x, y)
so its given that
x = r^3 - s
y = s^3 -r
g(0,0) = h(0,0) = 1
partial derivitives (sorry wrong notation): dg/dx, dh/dy and d^2g/dx^2
All at 0,0
Thanks, any help would be appreciated
I have two functions
r = g (x,y)
s = h (x, y)
so its given that
x = r^3 - s
y = s^3 -r
g(0,0) = h(0,0) = 1
partial derivitives (sorry wrong notation): dg/dx, dh/dy and d^2g/dx^2
All at 0,0
Thanks, any help would be appreciated
Use the chain rule here..
For , we know by the chain rule that
We can figure out that .
To find , use partial implicit differentiation:
We also can figure out that . We can disregard the term, since it will end up disappearing.
Thus, we now see that
Since, , we see that
Now evaluate it at (0,0). You should end up with
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Try to find using the same technique as I used above.
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For finding , recall that by the chain rule, we have (I think I have this correct...if not, feel free to state what it should be)
Follow the same process for this one as well.
Does this make sense?
--Chris