Applications - Differential Calculus of Multivariable Functions - University Mathematics Handbook

University Mathematics Handbook (2015)

VII. Differential Calculus of Multivariable Functions

Chapter 10. Applications

a.  The equation of the Tangent line to a plane curve is expressed by the equation at point is

b.  The equation of the Normal to a surface given by the equation at point is

c.  The equation of the Tangent plane to surface at point is

d.  Tangent line to the intersection line of the surfaces and at common point . Vector

is in the direction of the tangent line.

Tangent line equation is .