# Partial Derivative – Calculating second order partial derivatives to a sum of functions with e^x and ln function – Exercise 4331

Exercise

Find second order partial derivatives of the function

$$z(x,y)=e^x\ln y+3x+2y-5$$

$$z''_{xx} (x,y)=e^x\ln y$$
$$z''_{yy} (x,y)=\frac{-e^x}{y^2}$$
$$z''_{xy} (x,y)=z''_{yx}(x,y)=\frac{e^x}{y}$$