The solutions to GR3768

 Posts: 1
 Joined: Tue Jun 25, 2024 6:42 pm
The solutions to GR3768
The newly released practice math Subject Test is very difficult.Is there any solution manual to this available??
Re: The solutions to GR3768
Try here. https://www.mathsub.com/solutions/
I also found this answer on the internet, not sure if its relevant:
We have realvalued differentiable functions (u(x, y)) and (v(x, y)) implicitly defined by the equations:
[ x = f(u, v) \quad \text{and} \quad y = g(u, v) ]
where (f) and (g) are realvalued differentiable functions. We want to find an expression for (\frac{\partial u}{\partial x}).
The correct answer is:
[ \frac{\partial u}{\partial x} = \frac{\partial g}{\partial v} \frac{\partial f}{\partial u}  \frac{\partial f}{\partial v} \frac{\partial g}{\partial u} ]
I also found this answer on the internet, not sure if its relevant:
We have realvalued differentiable functions (u(x, y)) and (v(x, y)) implicitly defined by the equations:
[ x = f(u, v) \quad \text{and} \quad y = g(u, v) ]
where (f) and (g) are realvalued differentiable functions. We want to find an expression for (\frac{\partial u}{\partial x}).
The correct answer is:
[ \frac{\partial u}{\partial x} = \frac{\partial g}{\partial v} \frac{\partial f}{\partial u}  \frac{\partial f}{\partial v} \frac{\partial g}{\partial u} ]

 Posts: 8
 Joined: Thu Mar 23, 2023 1:48 pm
Re: The solutions to GR3768
There is no solution manual as far as I know. However, if there are specific questions you're having trouble with, maybe you can post them here and people can explain their solutions?