MATHEMATICS: DIFFERENTIATION FOR IIT JEE
December 2, 2018
AIIMS 2019: MBBS Application Form (Released), Exam Dates, Syllabus
December 2, 2018
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MATHEMATICS:APPLICATION OF DERIVATIVES FOR IIT JEE

  1. APPLICATION OF DERIVATIVES IN MECHANICS

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Application in Mechanics & rate measurer
Velocity and Acceleration in rectilinear motion
Derivative as the rate of change

2. APPLICATION OF DERIVATIVES (TANGENT AND NORMAL)

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Tangent and Normal
Slope of Tangent and Normal
Equation of the Tangent and Normal
Angle of intersection of Two Curves
Length of Tangent, Normal, Subtangent and Subnormal
Length of intercept made on axis by the tangent
Length of perpendicular from origin to the Tangent

3. APPLICATION OF DERIVATIVES: MAXIMA AND MINIMA

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Maxima and Minima
Introduction
Maximum and minimum value of a function
Local maxima and Local minima
Condition for maxima and minima
Working rule for finding maxima
Point of inflection
Greatest and least value of a function in given interval
Maxima and Minima of a function of two variables
Geometrical result related to Maxima and Minima

4.APPLICATION OF DERIVATIVES:INCREASING AND DECREASING FUNCTION

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Definition
Monotonic function
Necessary and Sufficient condition for Monotonic function
Test for monotonicity
Properties of monotonic function

5. APPLICATION OF DERIVATIVES:ROLLE’S MEAN VALUE THEOREM

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Rolle’s Theorem
Definition
Analytical Interpretation
Geometrical Interpretation

6.APPLICATION OF DERIVATIVES:LANGERANGE’S THEOREM

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Lagrange’s Mean Value theorem
Definition
Analytical Interpretation
Geometrical Interpretation

 

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