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Second Derivatives - Help.

Posted 9 years ago

Hello,

I bought the app you for AppStore, I am a customer from Brazil. I could not solve second derivative questions, could you help me?

I would like to find the derivatives of a function in shapes: X, Y, XX, XY, YX, YY.

Example: F (X, Y) = e ^ (2-x) / Y ^ 2

F (x) = F (y) = F (xx) = F (xy) = F (yx) = F (yy) =

Can you explain me how to write these formulas in the application?

Thanks !!

POSTED BY: Gustavo Abijaude
2 Replies

Hello,

and easy extension would be

In[31]:= f[x_, y_] := e^(2 - x)/y^2
Table[Derivative[i, j][f][x, y], {i, 0, 2}, {j, 0, 2}]

Out[32]= {{e^(2 - x)/y^2, -((2 e^(2 - x))/y^3), (6 e^(2 - x))/
  y^4}, {-((e^(2 - x) Log[e])/y^2), (2 e^(2 - x) Log[e])/
  y^3, -((6 e^(2 - x) Log[e])/y^4)}, {(e^(2 - x) Log[e]^2)/
  y^2, -((2 e^(2 - x) Log[e]^2)/y^3), (6 e^(2 - x) Log[e]^2)/y^4}}
POSTED BY: Hans Dolhaine
POSTED BY: Marco Thiel
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