Type an expression using x and y as the variables.
∂z/∂x = ____
∂x/∂t = ____
∂z/∂y = ____
dy/dt = ____
dz/dt = ____
∂z/∂x = ____
dx/dt = ____
∂z/∂y = ____
dy/dt = ____
dz/dt = ____
Use the Chain Rule to find dw/dt where w = cos 12x sin 4y, x=t/4, and y=t^4.
∂w/∂x = ____
(Type an expression using x and y as the variables.)