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Applications of the derivative

tipo de documento Mathematics - Teaching sequence

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Applications of the derivative

Worksheet overview

Description:

Using the concept of the derivative we are going to study some of the local properties of functions. Drawing their graphs will be made much easier through the study of these characteristics. This unit also aims to obtain information about functions from their derivatives.

Teaching orientation:

KNOWLEDGE TYPE: declarative

LEARNING OBJECTIVES: To find intervals of increase and decrease.To find the local maxima and minima of a function. To apply the theory of local maxima and minima to optimisation problems. To find intervals of concavity and convexity and points of inflexion of a function. Teaching unit designed for APPLIED MATHEMATICS FOR SOCIAL

PRIOR KNOWLEDGE: You need basic knowledge from previous courses in analysis

License:
creative commons: attribution - non commercial - share alike
License description:

The use of the following contents is universal, free of charge and open, provided that it is for non commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.ver más

The use of the following contents is universal, free of charge and open, provided that it is for non commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.ver menos

End user:
learner
Context:
schoolmate

General

Language:
english
KeyWords:
concavity derivative convexity decreasing functions Increasing functions Optimisation Stationary points
Scope:
universal
Structure:
linear
Agregation level:
Teaching Sequence
Collection:
+_

Technique

text/html
Format: Size:
image/gif
629676
Requerimientos:
Requirement type: Requirement name:
Requirement type:
operating system
Requirement name:
multi-os
Requirement type:
browser
Requirement name:
any
Installation considerations:

Installation is not required

Other platform requirements:

Install and enable the Java interpreter and Plug-in of the Applet Descartes on local

+_

Educational use

Educational learning resource type:
real or virtual learning environment
Interaction type:
mixed
Interaction level:
medium
Semantic density:
low
Age:
17 years
Difficulty:
easy
Learning time:
Two teaching sessions
Educational language:
english
Cognitive process:
understand prove
+_

Rights

License cost:
no
Access type:
universal
Access description:

es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_extremadura_20090126,es_navarra_20090202,es_castillayleon_20080422121523455,es_andalucia_20090324

+_

Conceptual map: Applications of the derivative

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Fecha publicación: 29.3.2015

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