Limit, Continuity and Derivative

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    Chapter 2 Limit, Continuity and Derivative ( 93 videos)

      2.1: Limits of functions
      Concept of a Limit of a Function
    1. Concept of a Limit of a Function
      4475 views
      2. Problem-Concept of Limit of a Function
    2. Problem-Concept of Limit of a Function
      2035 views
      3. Theorems on Limit of Functions
    3. Theorems on Limit of Functions
      4. Evaluate Limits of Different Algebraic, Exponential and Trigonometric Functions
    4. Evaluate Limits of Different Algebraic, Exponential and Trigonometric Functions
      2.2: Continuity
      Continuity of a Function at a Number
    1. Continuity of a Function at a Number
      2146 views
      2. Test Continuity and Discontinuity of a Function at a Point in an Interval
    2. Test Continuity and Discontinuity of a Function at a Point in an Interval
      2.3: Rate of Change of Function
      Gradient of a Curve
    1. Gradient of a Curve
      361 views
      2. Average Rate of Change
    2. Average Rate of Change
      5517 views
      2.4: Instantaneous Velocity
      Average Rate of Change
    1. Average Rate of Change
      5517 views
      2.5: The Derivative Functions
      Derivative of a Function
    1. Derivative of a Function
      10366 views
      2. More on Derivative of a Function
    2. More on Derivative of a Function
      5075 views
      3. Notation for Derivative
    3. Notation for Derivative
      3686 views
      4. Derivative by First Principle
    4. Derivative by First Principle
      6497 views
      5. More on Derivative by First Principle
    5. More on Derivative by First Principle
      2915 views
      6. Problem1-Derivative by First Principle
    6. Problem1-Derivative by First Principle
      3768 views
      7. Problem2-Derivative by First Principle
    7. Problem2-Derivative by First Principle
      2709 views
      2.6: Rules of Doifferentiation
      Power Rule for Differentiation
    1. Power Rule for Differentiation
      2573 views
      2. More on Power Rule for Differentiation
    2. More on Power Rule for Differentiation
      1523 views
      3. Problem-Power Rule for Differentiation
    3. Problem-Power Rule for Differentiation
      1972 views
      4. Problem1-Power Rule for Differentiation
    4. Problem1-Power Rule for Differentiation
      1653 views
      5. Derivative of a sum or Difference of Functions
    5. Derivative of a sum or Difference of Functions
      1646 views
      6. Problem1-Derivative of a sum or Difference of Functions
    6. Problem1-Derivative of a sum or Difference of Functions
      1408 views
      7. Derivative of a Constant Function
    7. Derivative of a Constant Function
      3467 views
      2.7: The Product and Quotient Rules
      Derivative of Product
    1. Derivative of Product
      1589 views
      2. Problem1-Derivative of Product
    2. Problem1-Derivative of Product
      1458 views
      3. Derivative of a Quotient
    3. Derivative of a Quotient
      1529 views
      4. More on Derivative of a Quotient
    4. More on Derivative of a Quotient
      1153 views
      5. Problem1b-Derivative of Quotient
    5. Problem1b-Derivative of Quotient
      1210 views
      2.8: The Connection Between Derivatives and Continuity
      Problem1b-Derivative of Quotient
    1. Problem1b-Derivative of Quotient
      1210 views
      2.9: Derivation of Trignometric Functions
      Derivative of Trigonometric Functions
    1. Derivative of Trigonometric Functions
      2286 views
      2. More on Derivative of Trigonometric Functions
    2. More on Derivative of Trigonometric Functions
      1413 views
      3. More stuff on Derivative of Trigonometric Functions
    3. More stuff on Derivative of Trigonometric Functions
      1087 views
      4. Problem1-Derivative of Trigonometric Functions
    4. Problem1-Derivative of Trigonometric Functions
      1464 views
      5. Problem2-Derivative of Trigonometric Functions
    5. Problem2-Derivative of Trigonometric Functions
      930 views
      6. Problem3-Derivative of Trigonometric Functions
    6. Problem3-Derivative of Trigonometric Functions
      903 views
      2.10: Derivatiive of Inverse Trignometric Functions
      Derivative of Inverse Trigonometric Functions
    1. Derivative of Inverse Trigonometric Functions
      1543 views
      2. More on Derivative of Inverse Trigonometric Functions
    2. More on Derivative of Inverse Trigonometric Functions
      960 views
      3. Problem1-Derivative of Inverse Trigonometric Functions
    3. Problem1-Derivative of Inverse Trigonometric Functions
      938 views
      4. Problem2-Derivative of Inverse Trigonometric Functions
    4. Problem2-Derivative of Inverse Trigonometric Functions
      760 views
      5. Problem3-Derivative of Inverse Trigonometric Functions
    5. Problem3-Derivative of Inverse Trigonometric Functions
      711 views
      2.11: Product Rule
      Derivative of Product
    1. Derivative of Product
      1589 views
      2. Problem1-Derivative of Product
    2. Problem1-Derivative of Product
      1458 views
      3. Derivative of a Quotient
    3. Derivative of a Quotient
      1529 views
      4. More on Derivative of a Quotient
    4. More on Derivative of a Quotient
      1153 views
      5. Problem1b-Derivative of Quotient
    5. Problem1b-Derivative of Quotient
      1210 views
      6. Power Rule for Differentiation
    6. Power Rule for Differentiation
      2573 views
      7. More on Power Rule for Differentiation
    7. More on Power Rule for Differentiation
      1523 views
      8. Problem-Power Rule for Differentiation
    8. Problem-Power Rule for Differentiation
      1972 views
      9. Problem1-Power Rule for Differentiation
    9. Problem1-Power Rule for Differentiation
      1653 views
      10. Differentiation by Chain Rule
    10. Differentiation by Chain Rule
      4515 views
      11. More on Differentiation by Chain Rule
    11. More on Differentiation by Chain Rule
      1970 views
      12. Problem1-Differentiation by Chain Rule
    12. Problem1-Differentiation by Chain Rule
      1824 views
      13. Problem2a-Differentiation by Chain Rule
    13. Problem2a-Differentiation by Chain Rule
      1349 views
      14. Problem2b-Differentiation by Chain Rule
    14. Problem2b-Differentiation by Chain Rule
      2.12: Implicit Differentiations
      Implicit Differentiations
    1. Implicit Differentiations
      2072 views
      2. Problem-Implicit Differentiations
    2. Problem-Implicit Differentiations
      1263 views
      3. More on Problem-Implicit Differentiations
    3. More on Problem-Implicit Differentiations
      912 views
      2.13: Derivative of Exponential Functions
      Derivative of Exponential Functions
    1. Derivative of Exponential Functions
      1722 views
      2. Problem1-Derivative of Exponential Functions
    2. Problem1-Derivative of Exponential Functions
      1166 views
      2.14: Derivative of Logarithmic Funcitons
      Derivative of Logarithmic Functions
    1. Derivative of Logarithmic Functions
      1501 views
      2. Problem1-Derivative of Logarithmic Functions
    2. Problem1-Derivative of Logarithmic Functions
      1007 views
      3. Problem2-Derivative of Logarithmic Functions
    3. Problem2-Derivative of Logarithmic Functions
      4. Problem3-Derivative of Logarithmic Functions
    4. Problem3-Derivative of Logarithmic Functions
      5. Problem Solving-Logarithmic Functions
    5. Problem Solving-Logarithmic Functions
      1011 views
      2.15: Differentials
      Difference between Delta y and dy
    1. Difference between Delta y and dy
      5118 views
      2. Problem1-Difference between Delta y and dy
    2. Problem1-Difference between Delta y and dy
      2349 views
      2.16: Higher Order Derivatives
      Introducing Higher Order Differentiation
    1. Introducing Higher Order Differentiation
      1752 views
      2. More on Introducing Higher Order Differentiation
    2. More on Introducing Higher Order Differentiation
      2.17: High Derivatives
      Problem1-Introducing Higher Order Differentiation
    1. Problem1-Introducing Higher Order Differentiation
      1278 views
      2. Problem2-Introducing Higher Order Differentiation
    2. Problem2-Introducing Higher Order Differentiation
      906 views
      3. Problem3-Introducing Higher Order Differentiation
    3. Problem3-Introducing Higher Order Differentiation
      799 views
      4. Problem4-Introducing Higher Order Differentiation
    4. Problem4-Introducing Higher Order Differentiation
      807 views
      5. The nth derivative of ln(ax+b) and a^mx
    5. The nth derivative of ln(ax+b) and a^mx
      6. The nth derivative of sin(ax+b) and cos(ax+b)
    6. The nth derivative of sin(ax+b) and cos(ax+b)
      7. Problem5-Introducing Higher Order Differentiation
    7. Problem5-Introducing Higher Order Differentiation
      8. Find the Second Derivatives of Implicit and Inverse Trignometric Functions
    8. Find the Second Derivatives of Implicit and Inverse Trignometric Functions
      2.18: Extrema of Funcitons
      Introducing Relative Extrema
    1. Introducing Relative Extrema
      2038 views
      2. Problem1-Introducing Relative Extrema
    2. Problem1-Introducing Relative Extrema
      1496 views
      3. Relative Maxima and Minima
    3. Relative Maxima and Minima
      2145 views
      4. Problem2-Relative Maxima and Minima
    4. Problem2-Relative Maxima and Minima
      1179 views
      5. Critical Values and Critical Points
    5. Critical Values and Critical Points
      1868 views
      2.19: Second Derivative Test for Relative Extrema
      Second Derivative Test and Concavity
    1. Second Derivative Test and Concavity
      990 views
      2. More on Second Derivative Test and Concavity
    2. More on Second Derivative Test and Concavity
      719 views
      3. Problem Solving-Second Derivative Test and Concavity
    3. Problem Solving-Second Derivative Test and Concavity
      736 views
      4. Problem1a-Second Derivative and Its Applications
    4. Problem1a-Second Derivative and Its Applications
      834 views
      5. Problem1b-Second Derivative and Its Applications
    5. Problem1b-Second Derivative and Its Applications
      6. Problem2a-Second Derivative and Its Applications
    6. Problem2a-Second Derivative and Its Applications
      631 views
      7. Problem2b-Second Derivative and Its Applications
    7. Problem2b-Second Derivative and Its Applications
      8. Problem3a-Second Derivative and Its Applications
    8. Problem3a-Second Derivative and Its Applications
      628 views
      9. Problem3b-Second Derivative and Its Applications
    9. Problem3b-Second Derivative and Its Applications
      2.20: Point of Infection
      Point of Inflexion
    1. Point of Inflexion
      1364 views
      2.21: Application of Derivatives
      Differential-Application to Economics
    1. Differential-Application to Economics
      2. Differential-Application to Kinematics
    2. Differential-Application to Kinematics
      681 views