Asked by Lost One
A function has a relative Maximum of (0,0) and a relative minimum of (3,-5). What is the function?
Answers
Answered by
Steve
assuming a polynomial, we see that y' is a quadratic, so
y = ax^3 + bx^2 + cx + d
(0,0) => d=0
(3,-5) => 27a+9b+3c=-5
y' = 3ax^2 + 2bx+c
y'(0) = 0 => c=0
y'(3)=0 => 27a+6b=0
solving for a and b, we get
y = 10/27 x^3 - 5/3 x^2
y = ax^3 + bx^2 + cx + d
(0,0) => d=0
(3,-5) => 27a+9b+3c=-5
y' = 3ax^2 + 2bx+c
y'(0) = 0 => c=0
y'(3)=0 => 27a+6b=0
solving for a and b, we get
y = 10/27 x^3 - 5/3 x^2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.