partial differentiation

I am confuse. Please help.

Given w=sin xy + y ln xz + z, x=e^t and y =t². Use the method of partial differentiation to find dw/dt.




* Please show me the right solution for this so that i can compare it to my work. i am doubtful for my solution.
If f(x,y,z)=xyz +x² + ln(y/z), prove that f_xyzx = f_zxxy.

No, show us your work so that we can comment on it. And, it would help if you gave the whole problem. Since w is a function of x, y, and z, you cannot find dw/dt without knowing z as a function of t.