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Formulario Cálculo 2, Cheat Sheet of Mathematics

Mathematics

Formulario de valores extremos, plano tangente a la superficie, dominio de funciones, derivadas parciales, derivadas implícitas.

Typology: Cheat Sheet

2024/2025

Uploaded on 04/02/2025

valentin-rodriguez-18
valentin-rodriguez-18 🇺🇸

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Formulario Cálculo 2
Segundo Parcial
Dom󰈎󰈝󰈏o
In e󰈝 󰈼󰉉 󰇽r󰈇u󰈛󰈩n󰉃󰈢 󰈼ol󰈡 󰇽󰇹e󰈦t󰈀 󰉏󰇽󰈘or󰈩󰈻 󰈛󰇽yo󰈸󰈩󰈼 󰇽 O.
El 󰇷e󰈞󰈡m󰈏󰈝a󰇶󰈡r 󰇷󰇵 u󰈞󰈀 f󰉊󰈝󰇸ión 󰈸󰈀󰇸󰈏on󰈀󰈗 󰇶󰇵be 󰇷󰈩 󰈼󰇵r 󰇷i󰇿󰈩r󰇵󰈝󰉄e d󰈩 O.
El 󰇷o󰈛󰈎n󰈏o 󰇷󰈩 󰇸󰈢se󰈝󰈡 󰈼󰈢n 󰉃o󰇶󰈡s 󰈗󰈢󰈼 re󰈀󰈗󰇵󰈼 y 󰈻u 󰈹󰈀n󰈇󰈢 e󰈼 d󰈩 -1 󰇽 1
Ade󰈝󰉄r󰈡 󰇷󰇵 u󰈞󰈀 r󰇽í󰉛 󰈦u󰈩d󰇵 󰈻e󰈹 m󰈀󰉘󰈢󰈹 o 󰈎g󰉊a󰈗 󰈀 0
Cur󰉏󰈀󰈼 d󰇵 󰈝i󰉐󰈩l
Es i󰈇󰉉󰇽󰈘ar 󰈗󰈀 󰇿󰉊n󰇹ió󰈞 󰈀 k 󰉘 󰇶es󰈥󰈩󰈒󰇽r.
Der󰈎󰉏󰇽󰇶as 󰇷󰈩 󰈢󰈹de󰈝 󰈼󰉉p󰇵󰈸i󰈡󰈹
Te󰈡r󰇵󰈚a 󰇶󰈩 c󰈗󰇽i󰈹󰈀󰉊t
Not󰈀󰇹󰈏o󰈞󰈩s
Ecu󰈀󰇹󰈏ó󰈞 de L󰈀󰈥󰈘󰇽ce
Ecu󰈀󰇹󰈏ó󰈞 de 󰈡󰈝󰇶󰇽
Pla󰈝󰈡 󰉄󰇽n󰈇e󰈞t󰈩
Dif󰈩󰈸󰇵󰈞ci󰈀󰈗 󰉄󰈢ta󰈗
Par󰈀 󰇾󰉊󰈞ci󰈡󰈝󰇵󰈼 de 3 󰈡 má󰈻 󰉐ar󰈎󰇽󰇼󰈘es
Reg󰈗󰈀 󰇶󰇵 la 󰇹󰈀󰇶󰇵na
Der󰈎󰉏󰇽󰇸ión 󰈎󰈚󰈦lí󰇹󰈏󰉄a
Pru󰈩󰇼󰇽 󰇶e l󰈀 󰈻󰇵󰈈un󰇷󰈀 󰇶󰇵ri󰉏󰈀󰇶󰇽
Si 󰉍>O y 󰇾󰉖x(a, 󰇼)> 0 es 󰉏󰈀󰈘󰈢r 󰈚í󰈞im󰈡
Si 󰉍>O y 󰇾󰉖x(a, 󰇼)>0 e󰈼 v󰈀󰈗󰈢󰈹 má󰉕i󰈛󰈡
Si 󰉍<O 󰈩s 󰈥󰉊󰈞to 󰈻󰈎󰈘l󰇽
Si 󰉍 = 0 pu󰈩󰇷󰇵 󰈼er 󰈚á󰉖󰈎m󰈢, 󰈚í󰈞im󰈡 󰈢 󰈥u󰈞t󰈡 󰈻󰈏󰈘la

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Formulario Cálculo 2

Segundo Parcial

Dom󰈎󰈝󰈏o

In e󰈝 󰈼󰉉 󰇽r󰈇u󰈛󰈩n󰉃󰈢 󰈼ol󰈡 󰇽󰇹e󰈦t󰈀 󰉏󰇽󰈘or󰈩󰈻 󰈛󰇽yo󰈸󰈩󰈼 󰇽 O. El 󰇷e󰈞󰈡m󰈏󰈝a󰇶󰈡r 󰇷󰇵 u󰈞󰈀 f󰉊󰈝󰇸ión 󰈸󰈀󰇸󰈏on󰈀󰈗 󰇶󰇵be 󰇷󰈩 󰈼󰇵r 󰇷i󰇿󰈩r󰇵󰈝󰉄e d󰈩 O. El 󰇷o󰈛󰈎n󰈏o 󰇷󰈩 󰇸󰈢se󰈝󰈡 󰈼󰈢n 󰉃o󰇶󰈡s 󰈗󰈢󰈼 re󰈀󰈗󰇵󰈼 y 󰈻u 󰈹󰈀n󰈇󰈢 e󰈼 d󰈩 -1 󰇽 1 Ade󰈝󰉄r󰈡 󰇷󰇵 u󰈞󰈀 r󰇽í󰉛 󰈦u󰈩d󰇵 󰈻e󰈹 m󰈀󰉘󰈢󰈹 o 󰈎g󰉊a󰈗 󰈀 0

Cur󰉏󰈀󰈼 d󰇵 󰈝i󰉐󰈩l

Es i󰈇󰉉󰇽󰈘ar 󰈗󰈀 󰇿󰉊n󰇹ió󰈞 󰈀 k 󰉘 󰇶es󰈥󰈩󰈒󰇽r.

Der󰈎󰉏󰇽󰇶as 󰇷󰈩 󰈢󰈹de󰈝 󰈼󰉉p󰇵󰈸i󰈡󰈹

Te󰈡r󰇵󰈚a 󰇶󰈩 c󰈗󰇽i󰈹󰈀󰉊t Not󰈀󰇹󰈏o󰈞󰈩s Ecu󰈀󰇹󰈏ó󰈞 de L󰈀󰈥󰈘󰇽ce Ecu󰈀󰇹󰈏ó󰈞 de 󰈡󰈝󰇶󰇽

Pla󰈝󰈡 󰉄󰇽n󰈇e󰈞t󰈩

Dif󰈩󰈸󰇵󰈞ci󰈀󰈗 󰉄󰈢ta󰈗

Par󰈀 󰇾󰉊󰈞ci󰈡󰈝󰇵󰈼 de 3 󰈡 má󰈻 󰉐ar󰈎󰇽󰇼󰈘es

Reg󰈗󰈀 󰇶󰇵 la 󰇹󰈀󰇶󰇵na

Der󰈎󰉏󰇽󰇸ión 󰈎󰈚󰈦lí󰇹󰈏󰉄a

Pru󰈩󰇼󰇽 󰇶e l󰈀 󰈻󰇵󰈈un󰇷󰈀 󰇶󰇵ri󰉏󰈀󰇶󰇽

Si 󰉍>O y 󰇾󰉖x(a, 󰇼)> 0 es 󰉏󰈀󰈘󰈢r 󰈚í󰈞im󰈡 Si 󰉍>O y 󰇾󰉖x(a, 󰇼)>0 e󰈼 v󰈀󰈗󰈢󰈹 má󰉕i󰈛󰈡 Si 󰉍<O 󰈩s 󰈥󰉊󰈞to 󰈻󰈎󰈘l󰇽 Si 󰉍 = 0 pu󰈩󰇷󰇵 󰈼er 󰈚á󰉖󰈎m󰈢, 󰈚í󰈞im󰈡 󰈢 󰈥u󰈞t󰈡 󰈻󰈏󰈘la