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Math Help - Higher Order Partial Derivative

  1. #1
    Newbie
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    Feb 2009
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    Question Higher Order Partial Derivative

    I've been struggling with this one for a while. I can't seem to get it right. I have to find fxxyy of e^(x^2+y^3)
    I cannot arrive at the correct answer. A little guidance would be greatly appreciated.
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  2. #2
    Senior Member
    Joined
    Dec 2008
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    When we find a partial derivative with respect to a variable, we differentiate normally with respect to that variable while treating all other independent variables as constants. For example, if f(x,\,y)=x^2\sin y, then

    \begin{aligned}<br />
f_x&=2x\sin y\\<br />
f_y&=x^2\cos y.<br />
\end{aligned}

    In our case, we can use the Chain Rule and the Product Rule to find f_{xx} when f(x,\,y)=e^{x^2\,+\,y^3}. After this, f_{xxyy} can be found similarly.
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