Loyal Chakma posted an Question
July 07, 2020 • 16:53 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.17 let f: r2 > r be defined by )=* if x+y # 0 if x +y =0 then the value of + (a) 0 at the point (0, 0) is \dx dy dy dx / (b) i (c) 2 (d) 4 4 2

Q.17 Let f: R2 > R be defined by )=* if x+y # 0 if x +y =0 Then the value of + (A) 0 at the point (0, 0) is \dx dy dy dx / (B) I (C) 2 (D) 4 4 2

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  • Loyal chakma

    yes sir sure!..I mean to say shouldn't it be f(h,0) instead of f(0,0) as given in Ur answer for the partial derivative fy(h,0)...

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  • Kiran goswami best-answer

    see attachment

    cropped5647151556390449143.jpg
    eduncle-logo-app

    we know fx(a,b)=f(a+h,b)/h-f(a,b)/h ...so why in the fourth line it wasn't substracted from f(h,0) as opposed to f(0,0(

    eduncle-logo-app

    since we know it's the difference between the tiny nudge from f(a+h,b) and f(a,b) the base point where we took a slide nudge in the X direction

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