Use the chain rule to find z(s) and z(t) if f(x,y)=x^2y+2xy^3
x(s,t)=sln(t)
y(s,t)=s^2+t^3
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Use the chain rule to find z(s) and z(t) if f(x,y)=x^2y+2xy^3
x(s,t)=sln(t)
y(s,t)=s^2+t^3
Hey allstar2.
Can you show us what you have tried? Do you know what the chain rule says?
So you want to findand
given:
Since z depends on both x and y,
(treating t as a constant). It's just the chain rule for two variables, except z depends on variables other than s, so you're looking for a partial derivative.
The situation for
That should get you going in the right direction. Post again if you have any more trouble.
- Hollywood