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

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  • TomV
    Lv 7
    9 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

    • Nadishka9 months agoReport

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

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