Gradient Direction and Magnitude
Vectors & Geometry DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Gradient Direction and Magnitude in Multivariate Calculus, Gradient Vector Calculation, Atan2 Function Usage, Magnitude computation using L2 Norm, Partial derivative symbolic approximation, Coordinate system transformation, Multivariate Calculus, Linear Algebra, Vector Geometry, Numerical Analysis, Optimization Theory, Partial Derivatives, Euclidean Norm, Vector Orientation, Directional Derivatives, Scalar Fields.
Given a scalar field function f(x, y) = x^2 + 3xy, implement a function that computes the gradient vector at a specific point (x, y), its magnitude, and its direction (in radians) relative to the positive x axis.