À differentiable function f: (a, b) → R is uniformly differentiable on a, b if for every E>0 there exists a d > 0 such that | f(t) – f(x) く€ t - I or all t, r E [a, b] with 0< t- x| < 6. Show that f is uniformly differentiable on [a, b] E and only if f' is continuous on a, b.

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Q: Exercise 4: Suppose f is differentiable on (2,6) and continuous on [2,6. Suppose further that 1 < f'…

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Q: 2. Determine the points where f is continuous where x + Y if (x, y) # (0,0) f(x, y) = x2 + y2 if (x,…

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Q: Q2 1 Point Assume that f : [0, 1] → R is differentiable, that ƒ'(0) = 1 and ƒ'(1) = 2. Which, if…

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Q: d) Let f be a continuous function. Then 1 [ S f(x,y) dady = f*f* f(x,y) dyda. 0

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