consider-the-cubic-function-hxhx-with-its-second-derivative-given-by-hxx6x5hprim

Question

Consider the quartic function h(x)h(x) with its second derivative given by h′′(x)=(x+6)(x−$$5)h^{\prime\prime}(x)=(x+6)(x-5). $$Find the xx-values where the graph of h(x)h\left(x\right) has an inflection point.

Accepted Answer

x=−6 and x=5x=-6	ext{ and }x=5

Answer

x=−6x=-6

Answer

x=−5 and x=6x=-5	ext{ and }x=6

Answer

x=5x=5

Consider the quartic function h(x)h(x) with its second derivative given by h′′(x)=(x+6)(x−5)h^{\(\prime\]\prime\)}(x)=(x+6)(x-5). Find the xx-values where the graph of h(x)h\(\left\)(x\(\right\)) has an inflection point.

Consider the quartic function $h (x)$ with its second derivative given by $h^{''} (x) = (x + 6) (x - 5)$ . Find the $x$ -values where the graph of $h (x)$ has an inflection point.