Thread: help needed for partial D qn

Hi All,
I got a problem tat i cant solve. pls help!

w is a function
w= -x to the power of 1/2 x F(z)

and z= y/2 x 1/( x to the pwer of 1/2)


the qns are as follow:

if u = -(dz/dy)
derive an expression for u in terms of F' where F' is dF/dz

Thanks for your help!

Jae

Please don't use "x" both for a variable and as a multiplication sign! Use "*" or, better, use LaTex.

I think you mean that

which also says that



Those two together tell us that


It isn't clear whether w is independent of y or not. Assuming it is, we can differentiate both sides with respect to y to get


Solve that algebraically for u.