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[PDF] Application of Derivativespmd - NCERT
In this chapter, we will study applications of the derivative in various Further, if two variables x and y are varying with respect to another variable
[PDF] APPLICATION OF DERIVATIVES - NCERT
The angle of intersection between two curves is the angle between the tangents to the curves at the point of intersection 6 1 3 Approximation Since f ?(x) = 0
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This is frequently the case, but often the two variables are related in some way so that “really” there is only one variable So our next step is to find the
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3 5 The Derivatives of and 3 6 An Economics Application: Elasticity of Demand loga x ax Why It's Important In this chapter, we consider two types of
[PDF] 27 Applications of Derivatives to Business and Economics
All our applications will center on what economists call the theory of the firm In other words, we study The first two derivatives of C(x) are given by
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Suppose f and g be two real function continuous at a real number c then Basic application of derivatives in finding marginal cost, marginal revenues :
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of intersection of two lines 2 Conic sections Applications of Derivatives rate of change of bodies, use of derivatives in approximation
[PDF] Mathematics Notes for Class 12 chapter 6 Application of Derivatives
Between any two roots of a polynomial f(x), there is always a root of its derivative f' (x) Lagrange's Mean Value Theorem Let f be a real function, continuous
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Applications of the Derivative Inverse Functions and Their Derivatives becomes u(x) times dvldx-we can multiply the two limits-plus v(x) times duldx
[PDF] Class : 12 Subject : Mathematics - UPMSP
equations by examples, solving system of linear equations in two or three Applications of derivatives: rate of change of bodies,
![[PDF] Mathematics Notes for Class 12 chapter 6 Application of Derivatives](https://pdfprof.com/EN_PDFV2/Docs/PDF_2/16224_2MathsNotesforClass12chapter6_ApplicationofDerivatives.pdf.jpg "[PDF] Mathematics Notes for Class 12 chapter 6 Application of Derivatives")
16224_2MathsNotesforClass12chapter6_ApplicationofDerivatives.pdf 1 | P a g e
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Mathematics Notes for Class 12 chapter 6.
Application of Derivatives
Tangents and Normals
of the tangent to the curve at P is where (x, y) is an arbitrary point on the tangent.The equation of normal at (x, y) to the curve is
1. If then the equations of the tangent and normal at (x, y) are (Y
y) = 0 and (X x) = 0, respectively.2. If then the equation of the tangent and normal at (x, y) are (X x)
= 0 and (Y y) = 0, respectively.Slope of Tangent
(i) If the tangent at P is perpendicular to x-axis or parallel to y-axis,2 | P a g e
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(ii) If the tangent at P is perpendicular to y-axis or parallel to x-axis,Slope of Normal
(ii) If , then normal at (x, y) is parallel to y-axis and perpendicular to x-axis. (iii) If then normal at (x, y) is parallel to x-axis and perpendicular to y-axis.Length of Tangent and Normal
(i) ș = (ii) Length of normal, (iii) Length of subtangent, (iv) Length of subnormal,3 | P a g e
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Angle of Intersection of Two Curves
Let y = f1(x) and y = f2(x) be the two curves, meeting at some point P (x1, y1), then the angle between the two curves at P (x1, y1) = The angle between the tangents to the curves at P (x1, y1) The other angle between the tangents is (180 ș is taken to be the angle of intersection. 4 | P a g e
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