3. EXAMPLE 1, PAGE 332 The function $$ g(x)=x^{5}+x^{3}-2 x-1 $$ has a local minimum at $$ \begin{array}{l} ext { A. } x=-\frac{\sqrt{10}}{5} \ ext { B. } x=\frac{\sqrt{10}}{5} \ ext { C. } x=\frac{2}{5} \ ext { D. } x=0 \ ext { 4. EXAMPLE 3. PAGE 333 A function } f ext { is continuous for all real numbers. }\end{array} $$

Question

3. EXAMPLE 1, PAGE 332 The function $$ g(x)=x^{5}+x^{3}-2 x-1 $$ has a local minimum at $$ \begin{array}{l}	ext { A. } x=-\frac{\sqrt{10}}{5} \ 	ext { B. } x=\frac{\sqrt{10}}{5} \ 	ext { C. } x=\frac{2}{5} \ 	ext { D. } x=0 \ 	ext { 4. EXAMPLE 3. PAGE 333 A function } f 	ext { is continuous for all real numbers. }\end{array} $$

Ford Owen · Accepted Answer

The function $$ g(x) = x^5 + x^3 - 2x - 1 $$ has a local minimum at $$ x = \frac{\sqrt{10}}{5} $$, which corresponds to option B.

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