consider-the-function-gxgleftxright-whose-first-derivative-is-given-by-gxx22x15g

Question

Consider the function $g (x)$ whose first derivative is given by $g^{'} (x) = x^{2} - 2 x - 15$ . Determine the $x$ -coordinate at which $g (x)$ , if any, has a local maximum, local minimum, or inflection point.

Accepted Answer

Local maximum at $x=-3$

Local minimum at $x=5$

Inflection point at $x=1$

Answer

Local maximum at $x=-3$

Local minimum at $x = - 5$

Inflection point at $x=1$

Answer

Local maximum at $x=-3$

Local minimum at $x=5$

Inflection point at $x = - 1$

Answer

Local maximum at $x=-3$

Local minimum at $x=5$

No inflection point

Consider the function g(x)g\left(x\right) whose first derivative is given by g′(x)=x2−2x−15g^{\prime}\left(x\right)=x^2-2x-15. Determine the xx-coordinate at which g(x)g\left(x\right), if any, has a local maximum, local minimum, or inflection point.

Consider the function $g (x)$ whose first derivative is given by $g^{'} (x) = x^{2} - 2 x - 15$ . Determine the $x$ -coordinate at which $g (x)$ , if any, has a local maximum, local minimum, or inflection point.