domingo, 18 de agosto de 2019

Unidad 3. Actividad 3. Derivación de orden superior e implícitas

Dadas las siguientes funciones calcula la segunda derivada clip_image002:

clip_image004

clip_image006

clip_image008

clip_image010

clip_image012

clip_image014

clip_image016

clip_image018

clip_image020

clip_image022         clip_image024  

clip_image026

clip_image028


 

clip_image030

clip_image032

clip_image034

clip_image024[1]     clip_image036

clip_image038

clip_image040

clip_image042

clip_image044

clip_image046

clip_image048


 

clip_image050

Fórmula:

clip_image052

clip_image054

clip_image056

clip_image058             clip_image060

clip_image062

clip_image064

Fórmula:

clip_image066

clip_image068

clip_image070

clip_image072

clip_image074

clip_image076


 

Determinar la tercera derivada

clip_image078

Fórmula:

clip_image080

clip_image082

clip_image084

clip_image086    clip_image022[1]   clip_image058[1]    clip_image024[2]

clip_image088

clip_image090

clip_image092

clip_image094   clip_image096   clip_image024[3]    clip_image098

clip_image100

clip_image102

clip_image104

clip_image022[2]    clip_image024[4]    clip_image060[1]

clip_image106

clip_image108


 

clip_image110

clip_image112

Fórmula:

clip_image114

clip_image116

clip_image118

Fórmula:

clip_image080[1]

clip_image120

clip_image122

clip_image124

clip_image126

clip_image128

clip_image130


 

Dadas las siguientes funciones encontrar clip_image132

clip_image134

Se reescribe la ecuación:

clip_image136

clip_image138

clip_image140

clip_image142

clip_image144

clip_image146

clip_image148

clip_image150

clip_image152

clip_image154

clip_image156

clip_image158

clip_image160

clip_image162

clip_image164


 

clip_image166

clip_image168

clip_image170

clip_image172

clip_image174

clip_image176

clip_image178

clip_image180

clip_image182

clip_image184

clip_image186

 


 

clip_image188

clip_image190

clip_image192

clip_image194

clip_image196

clip_image198

clip_image200

clip_image202

clip_image204

clip_image206

clip_image208

clip_image210

clip_image212

clip_image214

clip_image216

No se puede simplificar más.


 

clip_image218

clip_image220

clip_image222

clip_image224

clip_image226

clip_image228

clip_image230

clip_image232

clip_image234

Bibliografía

Aprende matemáticas. (s.f.). Recuperado el 18 de agosto de 2019, de https://www.aprendematematicas.org.mx/unit/derivadas-orden-superior/

Avendaño, A. (s.f.). Geogebra. Recuperado el 18 de agosto de 2019, de https://www.geogebra.org/m/vtRhhaag

Khan Academy. (s.f.). Recuperado el 18 de agosto de 2019, de https://es.khanacademy.org/math/differential-calculus/advanced-diff-dc#implicit-differentiation-intro-dc

Khan Academy. (s.f.). Recuperado el 18 de agosto de 2019, de https://es.khanacademy.org/math/multivariable-calculus/multivariable-derivatives/partial-derivative-and-gradient-articles/a/second-partial-derivatives

 

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