Question

\text { Consider the function } g(x)=4 x^{2 / 3} a) Show that there is no point c for which g'(c) =0. b) g(1)= g(-1). Why does part (a) not

lead to a violation of Rolle's Theorem? c) Use differentials to estimate g(8.100) and include your answer below to four decimal places.

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