Calculus

Calculus

1. Differentiation

   • The derivative is the instantaneous rate of change of a function with respect to one of its variables.
   • Rules
     • Quotient Rule
     • Product Rule
     • Composition Rule
     • Addition and Subtraction
   • Primitive Derivatives
   • First Principle
   • Tests
     • First Derivative
     • Second Derivative
     • Inflection Point

2. Limits

3. Equations and Graph

   • Tangent Line
     • Differentiate given equation
       • Plug in "X" value
         • =Slope
           • Replace slope, "x" and "y" in the equation y=mx+c
             • Find "c"
               • State equation
   • Normal Line
     • Slope= --1/tangent line slope
       • Replace slope, "x" and "y" in the equation y=mx+c
         • Find "c"
           • State equation
       • Relation b/w Slope of Tangent and Normal
   • Notation f'(a)
   • Relation b/w displacement, Velocity and Acceleration

4. Integrals

   • Indefinite: an integral expressed without limits, and so containing an arbitrary constant.
   • Definite: an integral expressed as the difference between the values of the integral at specified upper and lower limits of the independent variable.
   • Primitive Integrals
   • Area under the curve
   • U Substitution

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