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Local extrema of a function with a fractional power

This type of question, asked 2 times: 29 Jan 2024, 8 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    29 Jan 2024

    155
    The function f(x)=2x+3(x)23,x∈Rf(x) = 2x + 3(x)^{\frac{2}{3}},x \in R, has

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  2. Question 2

    8 Apr 2024

    65
    The number of critical points of the function f(x)=(x−2)2/3(2x+1)f(x) = (x- 2)^{2/3}(2x+ 1) is:

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