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