Back to Differential Calculus repository
Differential Calculus2D

Partial Differentiation - Theory & Concepts - Partial Deriv

Expand calculus to multivariable functions, partial derivatives, the gradient vector, the second partials test, and Lagrange Multipliers.

Open the complete lesson

Partial Derivatives

Visualizing Surface: z=0.5(x2−y2)z = 0.5(x^2 - y^2)
Red Arrow: Slope along x-axis (∂z/∂x\partial z / \partial x)
Green Arrow: Slope along y-axis (∂z/∂y\partial z / \partial y)

0.50
0.50
z value:0.00
Slope X (∂z/∂x\partial z/\partial x):0.50
Slope Y (∂z/∂y\partial z/\partial y):-0.50
Drag to Rotate | Scroll to Zoom

Related simulations

Functions, Limits, and Continuity - Theory & Concepts - Limit ExplorerFunctions, Limits, and Continuity - Theory & Concepts - Epsilon DeltaFunctions, Limits, and Continuity - Theory & Concepts - Continuity ExplorerThe Derivative - Theory & Concepts - Secant Tangent