Symbolic gradient in different coordinate systems. Based on Eqs.(1.39)–(1.41), write...

Symbolic gradient in different coordinate systems. Based on Eqs.(1.39)–(1.41), write functions gradCar(), gradCyl(), and gradSph() in MATLAB that take as input the symbolic expression for a function f(x, y, z) and return its gradient (∇f) in the Cartesian, cylindrical, and spherical coordinate systems, respectively, as a symbolic vector function. (gradCar.m, gradCyl.m, and gradSph.m on IR)

HINT: See MATLAB Exercise 1.33.

Reference: Equation(1.39)–(1.41)