Calculus & Numerical Methods
Partial Derivative ∂f/∂y
Partial derivative with respect to y.
Formula
Formula
∂f∂y ≈ f(x,y+h) − f(x,y−h)2h
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | function of x and y | expression / text | x, y | input |
| x, y | evaluation point | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x, y) = x*x*y, x = 2, y = 3
Result4.000000001
Example 2
Givenf(x, y) = x*y + y*y, x = 1, y = 1
Result3