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Cc 2016 qcm3


C31
Go to solution Solved by Le_Chapelier_Fou,

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il y a 3 minutes, C31 a dit :

Quand on fixe y on obtient quoi? 
j’ai du mal a trouver les dérivées partielles tout court en fait. Je sais pas quand il faut faire u/v...

Tu as :

 

f(x)=(x^2)/(1-x) + y/(1-x)

 

x est une constante et y la variable

donc la dérivée de (x^2)/(1-x)  est 0 (car c est une constante)

 

il nous reste y/(1-x) de la forme k*y avec k = 1/(1-x) = constant, or la dérivée de ky c'est k donc ici la dérivée donne 1/(1-x)

 

soit au final f' = 0 + 1/(1-x) = 1/(1-x)

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