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    • Definition of Derivative
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  • Numbers
  • Number Systems
  • Algebra
  • Algebraic Expressions
  • Linear Equations
  • Polynomials
  • Quadratic Equations
  • Arithmetic Progressions
  • Coordinate Algebra
  • Inequalities
  • Logarithms
  • Factorisation
  • Geometry
  • Lines and Angles
  • Triangles
  • Quadrilaterals
  • Polygons
  • Circles
  • Coordinate Geometry
  • Mensuration
  • 2D Mensuration
  • 3D Mensuration
  • Trigonometry
  • Introduction to Trigonometry
  • Trigonometric Identities
  • Heights and Distances
  • Trigonometric Functions
  • Inverse Trigonometric Functions
  • Advanced Algebra
  • Sequences and Series
  • Matrices
  • Determinants
  • Complex Numbers
  • Permutations and Combinations
  • Binomial Theorem
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  • Calculus
  • Limits
  • Continuity
  • Differentiation
    • Definition of Derivative
    • Basic Rules of Differentiation
    • Derivatives of Standard Functions
    • Chain Rule
    • Product and Quotient Rule
    • Implicit Differentiation
    • Logarithmic Differentiation
    • Higher Order Derivatives
  • Applications of Derivatives
  • Integration
  • Applications of Integrals
  • Differential Equations
  • Vectors and 3D Geometry
  • Vectors
  • Statistics and Probability
  • Data Handling
  • Measures of Central Tendency
  • Measures of Dispersion
  • Correlation
  • Probability
  • Random Variables
  • Probability Distributions
  • Linear Programming
  • Formulation of Linear Programming Problems
  • Graphical Method
  • Constraints and Feasible Region
  • Optimization Problems
  • Mathematical Reasoning
  • Statements
  • Logical Connectives
  • Implications
  • Validity of Statements and Arguments
← Continuity at a PointDefinition of Derivative →

Differentiation

Differentiation explained with basic rules, derivatives of standard functions, techniques, and simple examples for building calculus skills.

1.Definition of Derivative
Meaning of the derivative, the limit definition, and intuitive understanding of rate of change with simple examples.
2.Basic Rules of Differentiation
Basic differentiation rules explained with simple formulas and clear examples.
3.Derivatives of Standard Functions
Derivatives of polynomials, exponentials, logarithms, trigonometric functions, and other standard forms explained with simple formulas and examples.
4.Chain Rule
Chain rule explained with intuition, formula, and simple examples for differentiating composite functions.
5.Product and Quotient Rule
Product rule and quotient rule explained with simple formulas, intuition, and clear examples.
6.Implicit Differentiation
Implicit differentiation explained with clear steps, intuition, and simple examples involving equations not solved for y.
7.Logarithmic Differentiation
Logarithmic differentiation explained with steps, intuition, and examples involving complicated products, powers, and variable exponents.
8.Higher Order Derivatives
Higher order derivatives explained with meaning, notation, and simple examples.
← Continuity at a PointDefinition of Derivative →
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