Partial Derivatives of Multivariable Functions
Calculus & Optimization DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding Partial Derivatives in Multivariable Calculus, Difference Quotients, Truncation Error, Floating Point Precision, Scalar Fields, Partial Differential Operators, Multivariable Calculus, Numerical Analysis, Optimization Theory, Mathematical Modeling, Computational Mathematics, Gradient Vectors, Finite Difference Methods, Taylor Series Expansion, Differential Geometry, Jacobian Matrices.
Implement a function 'partial derivative(f, var index, point, h=1e 5)' that computes the partial derivative of a multivariable function 'f' at a specific point 'point' with respect to the variable at 'var index' using the central difference method.