Aplicaciones De La Derivada

APLICACIONES DE LA DERIVADA FUNCIONES CRECIENTES-DECRECIENTES

LAURA VANESSA GUTIÉRREZ BERDUGO Estudiante de ingeniería civil primer semestreProfesor: Marco Monsalve Rodriguez

UNIVERSIDAD DE LA COSTA (C.U.C) BARRANQUILLA-COLOMBIA

INTRODUCTION The next work is to understand theimportance of studying the application of derivatives to increasing and decreasing functions as a function is strictly increasing on an interval if forany two values which want the range, and holds that when the graph of a strictly increasing function we move to the right also moving up A functionis strictly increasing at the point of abscissa if there is any positive number such that strictly increasing the interval. That this definition itfollows that is differentiable and strictly increasing at the point of abscissa. A function is strictly decreasing on interval if for any two valueswhich want the range, and is satisfied that: When the graph a strictly decreasing function we move to the right also we move abajo.Una function isstrictly decreasing at the point of abscissa if there is any positive number such that is strictly decreasing in the interval.

5 . . . . .
.. . . . .

F(x)
8 6 4 2 0 -2 -4 0,9 0,7 0,5 0,3 0,1 -0,1 -0,3 -0,5 -0,7 -0,9 -1,1 -1,3 -1,5 -1,7 -1,9 -2,1 -2,3 F(x)

Extremos

10Punto de simetría

-2 0 2 4 6 8

F(x)

0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 -0,1 -0,2 -0,3 -0,4 -0,5 -0,6 -0,7 -0,8 -0,9 -1

F(x)