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Mathematics 13 Online
OpenStudy (anonymous):

partial derivative: f(x; y) = xe ^ (2x+3y)

hartnn (hartnn):

partial derivative w.r.t x or y ?

OpenStudy (anonymous):

both

hartnn (hartnn):

can u differentiate normally ?

OpenStudy (anonymous):

i don't know the rule...

hartnn (hartnn):

to partially diff. w.r.t x, treat y as a constant to partially diff. w.r.t y, treat x as a constant

OpenStudy (anonymous):

i don't know the rule when it involves e^u

hartnn (hartnn):

u know chain rule ?

hartnn (hartnn):

and product rule ?

OpenStudy (anonymous):

yes

hartnn (hartnn):

so lets diff. partially w.r.t y first so f' = x e ^ (2x+3y) x is constant, can , u diff w.r.t y now ?

OpenStudy (anonymous):

xe^2x+3y + e ^2x+3y ...i dont know...:((

hartnn (hartnn):

f' = x e^(2x+3y) d/dy(2x+3y) = xe^(2x+3y) (3) got this ?

OpenStudy (anonymous):

2xe^(2x+3y) & 3xe^(2x+3y) ??

hartnn (hartnn):

u have to use product fule for diff. w.r.t x

hartnn (hartnn):

*rule

OpenStudy (anonymous):

2xe^(2x+3y) + e^(2x+3y) ??

hartnn (hartnn):

u don't know product rule , right ?

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