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14 let f: r r be defined by x+y2, if x and y are irrationals 0, otherwisse then (a) fis not continuous at (0, 0) (b) f is continuous at (0, 0) but not different
14 Let f: R R be defined by x+y2, if x and y are irrationals 0, otherwisse Then (A) fis not continuous at (0, 0) (B) f is continuous at (0, 0) but not differentiable at (0, 0) (C) fis differentiable only at (0, 0) (D) fis differentiable everywhere 15
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Deepak singh 1![best-answer]()
Refer attached solution option c is correct
how to show for other points
clearly here f(x,y) is not continuous at other points , So cant be differentiable .
And to check continuity of f(x,y) at other point i.e (a,b) where a,b not zero . Then find LHL , RHL that will be not equal proving not continuous at (a,b)
feel free to ask again ..