CONCEPT MAP FOURTH MOMENT

CONCEPT MAP FOURTH MOMENT

1. LOGARÍTMICA DERIVATION

   • This method, as is the logarithmic derivation, we use to solve very complex exercises
     • There are five main differences
       • Express everything in terms of

2. CRITERION OF THE FIRST DERIVATIVE

   • can be
     • positive
       • It is growing function
         • method
           • calculate the first derivative
           • determine the maximum and minimum values
     • negative
       • it is decreasing function
         • method
           • get the formula of the function

3. CRITERIA OF THE SECOND DERIVATIVE

   • can be
     • less than zero
       • it's function with dig up
     • greater than zero
       • it's function with digging down
   • it serves to determine
     • with cavity down
       • negative
         • relative maximum
     • with cavity facing up
       • positive
         • relative minimum

4. GRAPH OF FUNCTIONS APART FROM THE LIMIT AND THE DERIVATIVE

   • from
     • limit
       • by
         • right
           • we can find
         • left
           • we can find
             • indeterminate forms
               • used

5. THEOREM OF L'HOPITAL CRITERIA ONE TWO AND THREE

   • when they have
     • indeterminations in the limits
       • of type
         • 0/0
         • inf/inf

6. APPLICATION TO ENGINEERING

   • a function measures the speed with which the value of said mathematical function changes
     • applied in civil engineering
       • understand and derive formulas that then have an important application in the industry
       • for
         • find maximum or minimum values of certain expressions
           • for example
             • complex investment in financial economy