Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
-$f(x)=0.1 x^{4}-x^{3}-15 x^{2}+59 x+14$
A) Approximate local maximum at 1.735; approximate local minima at -6.777 and 12.542
B) Approximate local maximum at 1.801; approximate local minima at -6.723 and 12.642
C) Approximate local maximum at 1.817; approximate local minima at -6.837 and 12.465
D) Approximate local maximum at 1.815 ; approximate local minima at -6.778 and 12.597

Question

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The maximum/minimum finder on a graphing calculator can be used to determine the approximate location of all local extrema. The correct answer is A because the approximate local maximum is at 1.735 and the approximate local minima are at -6.777 and 12.542.

Use the Maximum/minimum Finder on a Graphing Calculator to Determine f(x)=0.1x4−x3−15x2+59x+14f(x)=0.1 x^{4}-x^{3}-15 x^{2}+59 x+14f(x)=0.1x4−x3−15x2+59x+14

Use the Maximum/minimum Finder on a Graphing Calculator to Determine $f(x)=0.1 x^{4}-x^{3}-15 x^{2}+59 x+14$