Gradient & Tangent Plane Explorer | Calculus III | ShowMeClass

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Gradient & Tangent Plane Explorer

Calculus III · Multivariable Analysis

Learning Objectives

Visualize 3D surfaces z = f(x,y).

Find the Tangent Plane at a given point using partial derivatives.

See the Gradient vector in the xy-plane and how it points uphill.

Key Equations

Partial DerivativesGradientDirectional Derivative

Pos:(0, 0, 1)

∇f:<1, 0>

Function Selection

Coordinates

x₀ 0

y₀ 0

Visual Legend

Tangent Plane
Gradient Vector in xy-plane