Tanmayi K
2/26/2016 09:55:27 pm
In chapter 4, we have to find critical points to solve for finding absolute extrema. Critical points are points within the domain of a function at which the derivative of the function equals zero or does not exist. You plug in the critical point to the equation of the original function to find the value of the function's absolute maxima or minima. On closed interval domains, the endpoints must be tested as critical points as well.
Ananth Putcha
2/26/2016 10:23:45 pm
Using critical points and the double derivative of a function, you can find where the function concaves up or down. The inflection point is the point where the double derivative of the function is 0. You tests points on either side of the inflection point and when f"(x)>0, f(x) is concave up. When f"(x)<0, f(x) is concave down.
Ananth Putcha
2/26/2016 10:44:55 pm
When asked to analyze a function completely, you need to:
Herven
3/1/2016 09:10:16 pm
Linearization Formula Also the Linear Approximation Formula is =
Herven
3/1/2016 09:17:20 pm
Linearization HW Problem #3
Paige Eber
3/9/2016 10:56:20 pm
4.5 #1
Tanmayi K
3/2/2016 08:12:23 pm
The Mean Value Theorem applies when f(x) is continuous within every point in a CLOSED interval [a,b] and differentiable within (a,b)
Michelle H
3/9/2016 08:54:08 pm
The MVT would not apply to corners, cusps, and vertical tangents because they are not differentiable at every point.
Herven
3/2/2016 11:28:15 pm
4.6 Related Rates Tips and Tricks 3/2/2016 11:41:08 pm
Extreme Value Theorem (p.178)
Shreyas Mohan
3/3/2016 10:32:53 pm
Newton's Method:
Michelle H
3/18/2016 11:28:18 pm
To do Newton's method on your calculator:
Abigail Chase
3/4/2016 07:03:34 pm
Definition of Differentials:
Shawn Park
3/7/2016 07:09:43 pm
Quiz 4.14.3 #6
Tanmayi K
3/8/2016 05:40:53 am
4.2 #6
Christopher Glenn
3/9/2016 10:33:37 pm
4.14.3 Quiz #2
Rachel Willy
3/11/2016 08:33:40 pm
4.14.3 Quiz #5
Optimization
3/14/2016 05:25:36 pm
So pretty much when you are doing optimization problems you need to get the value you are asked to find (area, perimeter, volume) in terms of a single variable. This means you need to rewrite other dimensions in terms of a single dimension (similarity and a good understanding of geometry helps with this). Once you have this equation, you can either just plug it in your calculator and find the max (what we did in precalc) or take the derivative and set it equal to 0.
Michelle H
3/14/2016 11:50:01 pm
For example, you may rewrite the radius in terms of height or vice versa by setting up a ratio between the two terms and solving for the one you need
Shreyas Mohan
3/15/2016 11:15:36 am
I posted that, not an unfortunate student named optimization.
Herven S Barham
3/14/2016 11:52:46 pm
Chapter 4 Review Problem #25
When f' changes sign from pos to neg at c, then c is a local max
Tanmayi K
3/15/2016 12:01:15 am
Theorem 7:
Herven S Barham
3/15/2016 10:28:37 pm
Chapter 4 Review Problem #26
Tanmayi K
3/17/2016 10:46:35 pm
Just like cost can be minimized, profit can be maximized
Shawn Park
3/18/2016 11:49:50 pm
Section 4.3
Shawn Park
3/21/2016 09:25:50 pm
Section 4.5 #4
Brandon C
3/24/2016 08:06:17 am
4.2 #1
Michelle H
3/25/2016 11:57:26 am
4.4 #9 Comments are closed.

AuthorMrs. Johnson's 20152016 BC Calculus Center for Review. By participating in this blog, you are indicating that the work that you submit is your own. If found to be otherwise true, you will not receive credit. Happy blogging!
ArchivesCategories
All
