## Hitchhiker's Guide to Optimization

 11x17 Print \$9.99 Signed by Writer \$14.99

### 2

posted 4 years ago 3 replies

define f(x) as the time needed to reach a solution define x as the time waited in years before presenting the problem to a computer f(x) = 2^(-12x/22) 7.5--10^6+x To find the minimum value of this function,set it's derivative equal to 0. so d/dx(2^(-12x/22) 7.5--10^6+x)=(ln 2)(7.5 * 10^6)(-6/11)(2^(-6x/11)) + 1 set this equal to zero and solve 0=(-2.84 * 10 ^6)(2^(-6x/11)) + 1 x = 39.3 work omitted because of character limit, but it's in my StumbleUpon comment.

ForestFire0

### 1

posted 3 years, 8 months ago

@ForestFire0 LOL CALCULUS RULES ALL!!

deanwells1234

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## The Proof of Which Is Left as an Exercise to the Reader.

### 7:20 a.m. Friday, May 6 2011

I have an excellent proof but unfortunately it was too large to fit in the margins of the comic, or a tweet.

## My Attorney has Prepared the Following

### 7:18 p.m. Monday, May 9 2011

Where Y = total time and X = time waited, you want to minimize Y for X. As seen below in this graph

Our initial work was done by taking the derivative of the first equation with respect to x and evaluating that at 0.