does continuity of function imply existence of partial derivatives.if not please give an example of such a function.
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Originally Posted by saurabhtmz does continuity of function imply existence of partial derivatives.if not please give an example of such a function. No. Look at f(x.y) = |x| + |y| . It's continuous everywhere on ℝ², yet it is not differentiable on the x & y axes.
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