1. The problem statement, all variables and given/known data I have been trying to find the value of x that maximizes the function is section 2. z is a variable distributed using a standard normal distribution i.e. can vary between -∞ and ∞, but generally is between -4 and 4. m varies between 0 and 1. c varies the same way as z. x is always greater than c (so the function is always real). 2. Relevant equations http://www4b.wolframalpha.com/Calculate/MSP/MSP6341gbhe843gi5189e300002d76b658d53h3hd0?MSPStoreType=image/gif&s=45&w=271.&h=47 [Broken]. Alternate Wolfram-Alpha link: http://www.wolframalpha.com/input/?...qrt((x-c)/m))*(erf(z/sqrt(2))-erf(x/sqrt(2))) 3. The attempt at a solution I basically attempted to differentiate it (which is fine), and it gives me a really complicated solution. I set this to zero (to find the turning point), and am having trouble solving that equation. I was able to find specific values of this maxima by setting the other variables: z, m, c to specific values. For example, http://www.wolframalpha.com/input/?...2))*(erf(0.5/sqrt(2))-erf(x/sqrt(2))),+maxima Sorry, this isn't exactly homework, but for a research project I'm working on in college. Any help/guidance will be greatly appreciated.