Chapter 14, Problem 16RE

(a)

To determine

To calculate: The second partial derivative $z_{xx}$ of the function $z=3x^3{y}^4-\frac{x^2}{y^2}$.

(b)

To determine

To calculate: The second partial derivative $z_{yy}$ of the function $z=3x^3{y}^4-\frac{x^2}{y^2}$.

(c)

To determine

To calculate: The second partial derivative $z_{xy}$ of the function $z=3x^3{y}^4-\frac{x^2}{y^2}$.

(d)

To determine

To calculate: The second partial derivative $z_{yx}$ of the function $z=3x^3{y}^4-\frac{x^2}{y^2}$.