Find the critical points and the intervals on which the function f(x) = 5x2 + (-

Question

Find the critical points and the intervals on which the function f(x) = 5x2 + (- 3 - x)2 - 4 is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list. Enter infinity if there are no critical points.) The critical points with local minimum : The critical points with local maximum : (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*,*). Use symbol infinity, and for combining intervals, and appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) The function increasing on The function decreasing on

Explanation / Answer

the critical point with local mimima because 1st derivitive not ZERo nad 2nd is possitive

f'(x)=10x+2(-3-x)

=8x-6

x=3/4

f"(x)=8 (8 is possitive intger so funtion is continue b/w intervel (-infinity, 3/4) and incresss from (3/4,infinity)

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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