Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema. f(x) = 0.1x^3 - 15x^2 + 72x + 1 A) Approximate local maximum at 2.461; approximate local minimum at 97.539 B) Approximate local minimum at -97.539; approximate local maximum at -2.461 C) Approximate local minimum at 2.461; approximate local maximum at 97.539 D) Approximate local maximum at -97.539; approximate local minimum at -2.461
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Step 1
First, we need to find the critical points of the function. To do this, we'll take the derivative of the function and set it equal to zero. $f'(x) = 0.3x^2 - 0.3x + 72$ Show more…
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