Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
please can anyone summarize the process of drawing the graphs of a curve, by using calculous? ie, by finding retricemptotes and extremum.
 one year ago
 one year ago
please can anyone summarize the process of drawing the graphs of a curve, by using calculous? ie, by finding retricemptotes and extremum.
 one year ago
 one year ago

This Question is Open

henriquerbBest ResponseYou've already chosen the best response.1
1) Find out the function's domain; 2)Do f'(x), then see when f'(x)>0, f'(x)<0, and when f'(x)=0; 3)Do f''(x), then find out when f''(x)>0, and when f''(x)<0; 4)Do the limits of the function when x goes to infinity, and  infinity; 5)Find out the function's roots. Points where f'(x)=0 are maximum or minimum. For example, f'(b)=0,f'(b1)<0, and f'(b+1)>0 => (x,f(x)) is a minimum. If f''(x)>0 the function is concave up in this point; if f''(x)<0 the function is concave down in this point. If f''(x)=0, x could be a inflection point. To test that, do the same as the last step, see if f''(x) changes its signal before and after x. Its also very good to do the limits of the function in the point that are not in the functions domain and when x goes to zero. I'm sorry, my english is no that good, but I hope you understand.
 one year ago

ipm1988Best ResponseYou've already chosen the best response.0
it is fairly simple first find dy/dx pr f'(x) equate (dy/dx)=0 or f'(x)=0 and solve it This would give you some value now again differentiate (dy/dx) or find f''(x) check whether f''(x) at the values which you obtained by equating f'(x)=0 if f''(x)<0 then it is a point of maxima if f''(x)>0 then it is point of minima if f''(x)=0 then it is a stationary point or a point of inflexion and function has no maxima or minima P.S dy/dx and f'(x) are one and the same thing
 one year ago
See more questions >>>
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.