Calc 1 student here. Final is in 6 hours. I could use more optimization

>>7705936
take derivative
set to 0
check boundary conditions

>>7705936
>Final is in 6 hours
If you haven't studied yet, you are fucked nigga

>>7705942

This is what I do:

1. Find objective function
2. Identify constraints
3. Reduce objective function to one variable
4. Identify domain of objective function
5. Differentiate
6. Find critical numbers by setting to 0
7. Test critical numbers using on of:
a. closed interval method
b. 1st derivative test
c. 2nd derivative test
8. Answer

Hardest part is easily steps 1 and 2. Sometimes step 5 is tough if I have to differentiate something messy. The rest is easy.

>>7705955

I did study. I'm in the top 5 of my class rn and I will probably get an A, so long as I get a little practice so I'm better at steps 1 and 2 as listed in >>7705962

Being able to find out the objective function and the constraint really don't feel like something I can practice tho. Being able to interpret a complicated word problem feels like one of those parts of math where skill is less receptive to practice and is more connected to God-given brainpower.

>>7705971
The real problem is find the function and the boundary conditions. The next steps are trivial.

>>7705979

Well I think what you're saying is a more concise explanation of the problem, but the steps I listed are the most useful in the context of a calc 1 class. Unless I'm not understanding what you mean.

File: max_a_b.jpg (8KB, 347x204px) Image search: [Google]

8KB, 347x204px

>>7705936
Show that length a+b is at maximum for a=b.
Abbreviated solution on request.

>>7706119
show solution pls

>>7706119
where did you find this problem?

>>7706595
It's how you prove square roots of arbitrary positive real numbers exist from the field axioms + geometry

>>7705936
How'd the final go OP?

>>7706119
solution pls

Find the longest ladder than can pass through a right angled corner wirh lenght a and with b