Advanced Placement (AP), 08.01.2021 14:00 tddreviews

Let f be the function defined by f(x) = k $\sqrt[2]{x} - ln(x) for x\ \textgreater \ 0\\$ where k is a positive constant A) Find f'(x) and f''(x)
B) For what value of the constant k does f have a critical point at x=1? For this value of k, determine whether f has a relative maximum, a relative minimum, or neither at x=1. Justify your answer.
C) For a certain value of the constant k, the graph of f has a point of inflection on the x-axis Find the value of k.

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Let f be the function defined by f(x) = k where k is a positive constant A) Find f'(x) and f''(x) <...