Use Calculus and a Graphing Calculator to Find the Approximate $f(x)=0.1 x^{4}-x^{3}-15 x^{2}+59 x+14$

Multiple Choice

Use calculus and a graphing calculator to find the approximate location of all relative 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 1.755 ; approximate local minima at -6.703 and 12.552
C) Approximate local maximum at 1.661 ; approximate local minima at -6.768 and 12.52
D) Approximate local maximum at 1.791; approximate local minima at -6.785 and 12.601