Answer the following true/false questions below. Circle T for true\" or F for \"

Question

Answer the following true/false questions below. Circle T for true" or F for "false". You do not need to justify your answers. If a function f is decreasing on (-infinity, 4) and is increasing on (4, infinity) then f has a local minimum at x = 4. If f"(a) = 0, then f has an inflection point at a. If f has a local maximum or a local minimum at a. then either f(a) = 0 or f'(a) does not exist. It is possible for a function f to have both an absolute minimum at a and a local minimum at a If f is a differentiable function such that lim_x rightarrow infinity f'(x) and lim_x rightarrow infinity f(x) exist and are both finite, then lim_x rightarrow infinity f(x) = lim_x rightarrow infinity f'(x).

Explanation / Answer

1)true

2)false, inflection is obtained when f'(a)=0

3)false,to find maxima or minima first we find f'(a)=0 we get roots of a then e find f''' and substittute the given roots to find maxima and minima

4)true

5)true

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.