fbpx
calculus online - Free exercises and solutions to help you succeed!

Partial Derivative – Calculating second order partial derivatives to e to the power of a function – Exercise 4327

Exercise 

Find second order partial derivatives of the function

z(x,y)=e^{x^2y}

Final Answer

z''_{xx} (x,y)=2ye^{x^2y}(2x^2y+1)

z''_{yy} (x,y)=x^4e^{x^2y}

z''_{xy} (x,y)=z''_{yx}(x,y)=2xe^{x^2y}(x^2y+1)

Solution

Coming soon…

Share with Friends

Leave a Reply