Question

Which list contains all critical points and endpoints for \[f(x)=12x^{\frac{4}{3}}-6x^{\frac{1}{3}}\] on \[-1,1\]?

Options

• \[x=-1,0,\frac{1}{8},1\]

• \[x=0,\frac{1}{8}\]

• \[x=-1,\frac{1}{8},1\]

• \[x=-1,1\]

Answer 1

The endpoints are \[-1\] and \[1\]. The critical points are \[0\] and \[1/8\], so all four values must be checked.