Use Calculus and a Graphing Calculator to Find the Approximate $f(x)=x^{5}-15 x^{4}-3 x^{3}-172 x^{2}+135 x+0.062$

Multiple Choice

Use calculus and a graphing calculator to find the approximate location of all relative extrema.
- $f(x) =x^{5}-15 x^{4}-3 x^{3}-172 x^{2}+135 x+0.062$

A) Approximate local maximum at 0.379 ; approximate local minimum at 12.565
B) Approximate local maximum at 0.4 ; approximate local minimum at -12.534
C) Approximate local maximum at 0.379 ; approximate local minima at -0.472 and 12.565
D) Approximate local maximum at 0.478 ; approximate local minima at -0.55 and -12.5