EXPLOITING THE TANGENT PLANE.

The article outlines the ways of exploring tangent plane in Kansas City, Kansas. Such formulation employs the use of tangent plane to provide informal justifications for the chain rule and the gradient formula for directional derivatives. Much of these formulas are found in textbooks to give students an overview of their significance. Most often, teachers use Maple equations to create the images and help students develop a better understanding of geometry. Presented are multiple formulas used in solving the chain rule and the computation of tangent plane and linear approximation.