The Gradient in Cylindrical and Spherical Coordinates

Both Cylindrical and Spherical Coordinates are examples of orthogonal curvilinear coordinates. As such, we are able to use the general formula for the gradient vector field in orthogonal curvilinear coordinates (https://youtu.be/dLvczFQxFHw) to find a formula for the gradient vector field in each of these coordinate systems once we know the Lame coefficients. #mikethemathematician, #profdabkowski, #mikedabkowski