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Differential Calculus

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Overview

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Explore differential calculus in this comprehensive 6-hour course designed for Grade 12 mathematics students. Delve into key concepts including graphical definitions of derivatives, differentiability on intervals, and derivatives of trigonometric and exponential functions. Master exercises that reinforce understanding of these principles. Examine the relationship between differentiability and continuity, and learn to apply derivative rules for product functions, quotients of functions, and the chain rule. Gain proficiency in using dy/dx notation for the chain rule, preparing you for advanced mathematical studies and applications in various fields.

Syllabus

Ethiopian Grade 12 Maths Unit_3 p_1 Differential Calculus.
Ethiopian Grade 12 Maths Unit_3 p_2 Graphical Definition of Derivatives.
Ethiopian Grade 12 Maths Unit_3 p_4 Exercise 3.2.
Ethiopian Grade 12 Maths Unit_3 p_5 Differentiablity on interval.
Ethiopian Grade 12 Maths Unit_3 p_7Derivative of Trigonometric Function.
Ethiopian Grade 12 Maths Unit_3 p_8 Derivatives of Exponential Functions.
Ethiopian Grade 12 Maths Unit_3 p_10 Exercise 3.7.
Ethiopian Grade 12 Maths Unit_3 p_11 Differentiablity and Continuity.
Ethiopian Grade 12 Maths Unit_3 p_13 Derivatives Of Product Functions.
Ethiopian Grade 12 Maths Unit_3 p_14 Derivatives of a quotients of Functions.
Ethiopian Grade 12 Unit_3 p_16 The Chain rule.
Ethiopian Grade 12 Maths Unit_3 p_17 The chain rule using the notation dy/dx.

Taught by

Ethiopian Education

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