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Deepak Patra posted an Question
January 21, 2022 • 18:22 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Is a polynomial function of 2 dimension is differentiable everywhere in r
is a polynomial function of 2 dimension is differentiable everywhere in R
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Anonymous User![best-answer]()
yes two dimensional polynomial of the form p(x) =a+bx which is differentiable every where in R
no sir polynomial is of 2 dimension means f(x,y)= ax²+by²+ cx+ dy .... this type of function
this is two variable polynomial
differential every where
sir show that this is also differentiable by condition of differentiability ??
check attachment
this is not polynomial function only function of two variable
sir here fx(h,0) = 0 and fy(0,k) = 0 ... i think as xy= 0 implies x=0 or y=0
fx= limit f(h,0)-f(0,0)/h= 3