Optimization MAA MA·HEMA: CAL ASSOC: AliCNCF AMERICA webwork / $16surveycalc rob

Question

Optimization MAA MA·HEMA: CAL ASSOC: AliCNCF AMERICA webwork / $16surveycalc roberts /3.4 optimization / 1 3.4 Optimization: Problem 1 Previous Problem List Next (1 point) Find the absolute maximum and absolute minimum values of the function on the interval [1,5 Enter-1000 for any absolute extrema that does not exist Absolute maximum Absolute minimum Note: You can earn partial credit on this problem Preview My AnswersSubmit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor ndows

Explanation / Answer

1)f(x)=4x/(6x+8)

differentiate with respect to x . quotient rule (u/v)'=(u'v -uv')/v2

f '(x)=[4(6x+8)-4x(6+0)]/(6x+8)2

f '(x)=[32]/(6x+8)2

for critical points f '(x)=0

but here that neverhappens

f(1)=4/(6+8)

f(1)=4/14

f(1)=2/7

f(5)=(4*5)/[(6*5)+8]

f(5)=20/38

f(5)=10/19

absolute maximum =10/19

absolute minimum =2/7

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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