Calculus & Analytic Geometry (B.A / B.Sc.)
Chapter:09 (Partial Differentiation)
In this chapter, we will study the following topics:
- the geometrical meaning of partial derivatives of a function of two variables
- tangent plane
- the angle between a line a plane
- normal line to a surface
- Taylor’s advanced calculus
- surface given in the implicit form
- tetrahedron formed by coordinate system
- equation of the tangent plane and normal
- differentials
- partial differentiation of implicit function
- approximation
- volume of material
- percentage error in the area
- length of the diagonal
- excess volume
- the greatest possible error in the tangent
- the chain rule
- the cauchy riemann equation
- homogeneous functions
- transcendental functions
- euler’s theorem
- continuously differentiable at a point
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