ICSE 12 Mathematics | 3. Calculus by Abraham | Learn Smarter with Allrounder.ai
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3. Calculus

3. Calculus

17 sections

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Sections

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  1. 3

    Calculus is the mathematical study of rates of change and accumulation,...

  2. 3.1
    Differentiation - Basic Concepts

    Differentiation focuses on finding the derivative of functions to understand...

  3. 3.2
    Derivative Rules

    This section covers the fundamental rules for differentiating various types...

  4. 3.2.1

    The Power Rule is a fundamental differentiation rule that allows for the...

  5. 3.2.2

    The Sum Rule in calculus allows the differentiation of the sum of two...

  6. 3.2.3
    Product Rule

    The Product Rule is a fundamental differentiation principle in calculus that...

  7. 3.2.4
    Quotient Rule

    The Quotient Rule is a fundamental principle in calculus used to...

  8. 3.2.5

    The Chain Rule is a vital differentiation technique used to compute the...

  9. 3.3
    Derivatives Of Trigonometric Functions

    This section discusses the derivatives of fundamental trigonometric...

  10. 3.4
    Derivatives Of Exponential And Logarithmic Functions

    This section focuses on the derivatives of exponential and logarithmic...

  11. 3.4.1
    Exponential Functions

    This section discusses exponential functions, their derivatives, and their...

  12. 3.4.2
    Logarithmic Functions

    This section delves into derivatives of logarithmic functions, focusing on...

  13. 3.5
    Higher Order Derivatives

    Higher-order derivatives measure the rate of change of rates of change,...

  14. 3.6
    Application Of Derivatives

    This section covers the practical applications of derivatives, including...

  15. 3.6.1
    Tangents And Normals

    This section explores the concepts of tangents and normals in calculus,...

  16. 3.6.2
    Maxima And Minima

    This section discusses the concepts of local maxima and minima and how they...

  17. 3.6.3
    Optimization Problems

    Optimization problems utilize calculus concepts to find maximum or minimum...

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