Question: Problem 7. Let f(x)=3x, x in R. Use the definition of the derivative to prove that f(x)=13 x2/3 for x=0. Then show that f is

Problem 7. Let f(x)=3x, x in R. Use the definition of the derivative to prove that f(x)=13 x2/3 for x=0. Then show that f is not differentiable at 0. Hint: The identity x3 y3=(xy)(x2+xy +y2) might be useful.

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