Question Number 103790 by ugwu Kingsley last updated on 17/Jul/20

Commented byugwu Kingsley last updated on 17/Jul/20

i need help with this asap

Answered by bemath last updated on 17/Jul/20

(a) (∂f/∂x) = e^y −e^x  ; (∂f/∂y) = xe^y   critical point  → { (((∂f/∂x) = 0 ⇒e^y  = e^x )),(((∂f/∂y) = 0 ⇒xe^(y ) =0; x=0 ∧y=0)) :}

Commented bybemath last updated on 17/Jul/20

(c)(∂^2 f/∂x^2 ) = −e^x  ; (∂^2 f/∂y^2 ) = xe^y      (∂^2 f/(∂x∂y)) = e^y