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
2. z = 10xy2 – y3/x – 5x2
3. z = x2 y2 + x2/y2 + x2 + y2
4. z = y sin x + x2sin2y + xy sin(y2)