Partial Derivatives

Partial Derivatives: Practice Problems

Determine the partial derivative of z with respect to x and then y for each of these functions.

                1. z = 3x²y + y² + 1/x

                        Solution

                2. z = 10xy² – y³/x – 5x²

                         Solution

                  3. z = x² y² + x²/y² + x² + y²

                         Solution

                4. z = y sin x + x²sin²y + xy sin(y²)

                        Solution