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Partial Derivative – Calculating second order partial derivatives to a sum of simple functions – Exercise 4310

Exercise

Find second order partial derivatives of the function

$z(x,y)=x^3+3xy^2-4x^2y^5+1$

Final Answer

$z''_{xx} (x,y)=6x-8y^5$

$z''_{yy} (x,y)=6x-80x^2y^3$

$z''_{xy} (x,y)=z''_{yx}(x,y)=6y-40xy^4$

Solution

Coming soon…

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