Ineedofhelp
New member
- Joined
- Mar 25, 2015
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So i found the slope of the level curve f(x,y)=c to be -f'1/f'2. But i dont know how to go on solve these 2 exercises
If g(u) and g'(u)>0 for all u's. Let the function h be be h(x, y)=g(f(x,y))
1.Show that for a given value of x the level curve h(x,y)=g(c) will have the same slope as f(x.y) which is -f'1/f'2
2. let (x,y) and (x',y') be two levels on the plane where (x',y') > (x,y) what can you say about the sign of h(x,y)-h(x',y')
If g(u) and g'(u)>0 for all u's. Let the function h be be h(x, y)=g(f(x,y))
1.Show that for a given value of x the level curve h(x,y)=g(c) will have the same slope as f(x.y) which is -f'1/f'2
2. let (x,y) and (x',y') be two levels on the plane where (x',y') > (x,y) what can you say about the sign of h(x,y)-h(x',y')