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anonymous
 one year ago
CALCULUS: STATIONARY POINT
\[f(x)=x^3+Ax+B\]
has a stationary point at (2, 3). Find the values of A & B.

I've already found A=12. I just don't know how to find B.
anonymous
 one year ago
CALCULUS: STATIONARY POINT \[f(x)=x^3+Ax+B\] has a stationary point at (2, 3). Find the values of A & B.  I've already found A=12. I just don't know how to find B.

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Zale101
 one year ago
Best ResponseYou've already chosen the best response.1what does it mean if the function has a stationary point?

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1Stationary point means the derivative of that function is zero.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, I just know that if a function has a stationary point then the derivative of that function is equal to 0.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh... you already said that lol

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1Did you find b already or not?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know what to do.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Should I just plug in (2,3) to the function to solve for B?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If so, then I'll get B=13. But I'm not sure.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is not just about plugging in values you need to know what you're doing and why you're doing it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, that's why I am asking how to do it. :)

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1You should start with taking the derivative, set it equal to zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how should not be the point of interest

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I'll show my work.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0^ that's what I did to find B.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442978733930:dw

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0Hmm..I don't think you can just leave out B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we know that in a graph dw:1442978750479:dw

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1a and b are constants...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Jhannybean Well, B is a constant. SO the derivative is 0.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0Oh, didn't see the derivative sign in your function, m'bad.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You didn't? That's fine. :D

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1After you solve for a and got 12 plug that to the original equation and dont forget to plug (2,3) for x and f(x). From there, you can solve for b.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0^ I did that and I got 13.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just like what I said a while ago :D

Zale101
 one year ago
Best ResponseYou've already chosen the best response.1Okay, then you are good to go :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Awesome! Thanks for the help though! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I actually just found out that stationary points are critical points based on this problem. I heart openstudy
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