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Prerna Chaudhary posted an Question
October 19, 2021 • 17:07 pm 30 points
  • IIT JAM
  • Mathematics (MA)

A. show that if x and y are sufficiently close to zero and f is differentiable at (0, 0), then fa. y) * f(0,0) +xf. (0, 0) + yf, (0, 0). b. use the approximatio

a. Show that if x and y are sufficiently close to zero and f is differentiable at (0, 0), then fa. y) * f(0,0) +xf. (0, 0) + yf, (0, 0). b. Use the approximation formula in part a to show that 1-x+y 1+x-y for smalx and y. C. Ifx and y are sufficiently close to zero, what is the approx- imate value of the expression x+1)2+ (y+ 1)2

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    Navdeep goyal 1 Best Answer

    check attachment

    cropped1846677805711020392.jpg
    cropped7605263704970004702.jpg
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    using the definition of two variable differential fun

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    sir please explain part (a)again and (C)

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    can we solve part a) by another method also

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    check now

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    No ,solved by only definition

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    thank u so much sir 🙏

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