• Jul 18, 2025 Nabla portant? Q: What exactly is the nabla operator? A: Nabla (∇) isn't a function or a variable in itself. Instead, it's a vector differential operator representing a vector of partial derivatives. In Cartesian coordinates (x, y, z), it's defined as: ∇ = ∂/∂x i + ∂/∂y j + ∂/∂z k By Judith Stoltenberg
• Jan 10, 2026 Gradient Nabla 2x i + 2y j. At the point (1, 1), the gradient is 2i + 2j, indicating the steepest ascent is in the direction of (1, 1) with a rate of 2√2. 3. Geometric Interpretation of the Gradient The gradient vector is always perpendicular to the level curves (or level surface By Steve Rippin III