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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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understand

• ##### Navdeep goyal 1 Best Answer

check attachment

using the definition of two variable differential fun

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

can we solve part a) by another method also

check now

No ,solved by only definition

thank u so much sir 🙏

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