# If f(x,y) = e^x sin y?

Then,

F(x) =

F(y) =

F(xx) =

F(xy) =

F(yy) =

F(xxx) =

F(xxy) =

F(xyy)) =

F(yyy) =

### 1 Answer

Relevance

- TomVLv 79 months ago
Assuming by F(x) you mean ∂f/∂x, etc:

f(x,y) = e^x sin y

F(x) = ∂f/∂x = e^x sin y

F(y) = ∂f/∂y = e^x cos y

F(xx) = ∂²f/∂x² = e^x sin y

F(xy) = ∂²f/∂x∂y = e^x cos y

F(yy) = ∂²f/∂y² = -e^x sin y

F(xxx) = ∂³f/∂x³ = e^x sin y

F(xxy) = ∂³f/∂x²∂y = e^x cos y

F(xyy)) = ∂³f/∂x∂y² = -e^x sin y

F(yyy) = ∂³f/∂y³ = -e^x cos y

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Can I also get all the steps involved in the process in getting the answers