In 2040, people all over the world were excited to discover Planet Z populated by friendly aliens. Scientists were working hard to make it technically possible to meet the new distant and long-awaited neighbors. This was difficult as many laws of nature on the planet appeared to be… “shifted“ compared to our blue planet. Additionally, most of the software/online problem solvers couldn’t help in preparations since they are tuned to our home planet environment. Even worse, people of 2040s rely on the computers completely and can do almost nothing “by hand” but now you're on board the spaceship #159881477, and the captain is asking to solve "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order):

Here Is The Story that happened to you earlier...

but now you're on board the spaceship #955032212, and the captain is asking to solve tricky "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order):

(!!! Do Not use decimals/calculator. Present fractions in an exact format, for example, 6110761107 , 2294222942)

Now, find the slope of the tangent line to the curve

x2−3xy+y3=49x2-3xy+y3=49

at the point (−2,3)(-2,3).

  

!!! The challenge is that the easiest differentiation rule on Earth, ddxxn=nxn−1ddxxn=nxn-1 , on Z planet is "twisted" as the following:

 ddxxn=n2xn−1ddxxn=n2xn-1  (ddxconst=0ddxconst=0 , and the other rules have not been changed).