A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

Koikkara
 2 years ago
Best ResponseYou've already chosen the best response.0To obtain the relative maximum(s) and minimum(s), you have to use that derivative formula you have and set it equal to 0 or undefined. Since there is no denominator in the derivative, you can ignore the "set it equal to undefined" part. So, for 3x^2  12x, you would first factor out the 3x, to get 3x(x4). Next, set this equal to 0. 3x(x4) = 0 You should get x=0, 4. These are called critical #'s. Next, you make a number line of any length which include these 2 numbers as points on them: <OO> Circle 1 is x=0, second circle is x=4. Now test the intervals for the # line (test x<0, 0<x<4, and x>4). To test, choose any value in the interval and plug it in to the derivative function. On the number line, mark whether the intervals are positive or negative. +  + <OO> Circle 1 is x=0, second circle is x=4. Since f '(the derivative function) represents the slope of the tangent, you know there is a min when the slope changes from negative to positive, so 4 is your min. (Plug this into f(x) to get the y value of this point.) Also, when slope goes from + to , you have a max, so 0 is the max. (Plug this in to f(x) to get the yvalue of the point.) Hope this helps.

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.0@Koikkara ''without derivatives''

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.0Only method i see without derivatives is Hit and Trial!

Koikkara
 2 years ago
Best ResponseYou've already chosen the best response.0according to.... mathforum.org/library/drmath/view/62730.html
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.