How to Solve for Jacobians and Pedal Form Equations in Scientific Notation

[ADITYABR]

I need the solution for this If u = 2yz/x, v= 3zx/y, w= 4xy/z Show that ∂(x,y.z)/∂(u,v,w) = 1/96. Please

 

[HallsofIvy]

What, exactly, is your difficulty? Do you know what the "Jacobian" is? Do you know how to find the partial derivatives.

Perhaps the difficulty is that you are given u, v, and w as functions of x, y, and z but are asked for \partial(x, y, z)/\partial(u, v, w) rather than \partial(u, v, w)/\partial(x, y, z)? Not to worry!
\dfrac{\partial(x, y, y)}{\partial(u, v, w)}= \dfrac{1}{\dfrac{\partial(u, v, w)}{\partial(x, y, z)}}

 

[ADITYABR]

Yes I do know how to find. Yes I have given function w.r.t x, y, z as it was given in the problem to find the same as above. Thanks for the reply

 

[HallsofIvy]

Excellent! Problem solved.

 

[ADITYABR]

I Need the solution to this equation y^2 = 4ax in pedal form? I tried but could not solve it . If anybody found it kindly send the answer and it would be great.