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Further Mathematics Notes

Conic Sections: Parabola, Ellipse And Hyperbola

THE PARABOLA The parabola is a locus of points, equidistant from a given point, called the Focus and from a […]

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Further Mathematics Notes

THE CIRCLE: DEFINITION , GENERAL EQUATION, EQUATION OF TANGENT TO CIRCLE AND LENGTH OF THE TANGENT

DEFINITION: A circle is defines as the locus of point equidistant from a fixed point. A circle is completely specified […]

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Further Mathematics Notes

Application Of Differentiation ; Rate Of Change, Equation Of Motion , Maximum And Minimum Points And Values

Rate of Change MAXIMUM AND MINIMUM POINTS GENERAL EVALUATION A curve is defined by f(x) = x3 -6×2-15-1 find (i) […]

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Further Mathematics Notes

Differentiation Of Trigonometric Functions, Logarithmic Functions And Exponential Functions

Derivative Of Trigonometric Functions The derivative of y = sin x dy/dx = cos x The derivative of y = […]

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Further Mathematics Notes

Rules Of Differentiation

Rules for differentiation HIGHER DERIVATIVES OF THE SECOND AND THIRD ORDER . DIFFERENTIATION OF IMPLICIT FUNCTIONS Reading Assignment New Further […]

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Further Mathematics Notes

Limits Of Functions And Differentiation From The First Principle

Introduction to Limits EVALUATION Evaluate lim -> 4 x3 +4x 6 Evaluastelim x -> -2 x+6/ 2x +4 Differentiation From […]

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Further Mathematics Notes

SS2 2nd Term Further Mathematics scheme of work

SECOND TERM E-LEARNING NOTE SUBJECT: FURTHER MATHEMATICS                                                           CLASS: SS2 SCHEME OF WORK WEEK           TOPIC Differentiation: Limits of Function and First […]

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Further Mathematics Notes

Trigonometric Identities and graphs of inverse trigonometric ratios Pythagoras Theorem

Example If asinѳ + bcosѳ = p andacosѳ – bsinѳ = q show that a2 + b2 = p2 + […]

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Further Mathematics Notes

Graphs of Trigonometric Function

The graph of the followings will be considered (a) y = sinѳ, 0◦ ≤ ѳ ≤ 360◦ (b) y = […]

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Further Mathematics Notes

Trigonometric functions in Further Mathematics

The basic trigonometric ratios can be defined in two ways: (i)traditional definition; (ii) modern definition. Use tables to evaluate each […]