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Relations and Functions
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Inverse Trigonometric Functions
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Matrices
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Determinants
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Continuity and Differentiability
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Application of Derivatives
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Integrals
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Differential Equations
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Probability
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Vectors
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Three - Dimensional Geometry
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Application of Integrals
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Applications of Calculus in Commerce and Economics
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Linear Regression
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Linear Programming
Application of Derivatives
Application of Derivatives - I
We can use derivatives to measure rate of change of quantities, to find increasing and decreasing functions, to find tangents and normals etc.
• If a quantity y varies with another quantity x, satisfying some rule y = f(x), then dy/dx represents the
Application of Derivatives - II
- We can apply derivatives to determine approximate value of certain quantities and to find maximum and minimum values of a function in an interval.
- The differential of y is denoted by dy and is defined by dy = f ′(x) dx or dy = f ′(x) ∆x, where dy approximately equ
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