- #1

- 86

- 0

(0.003 + 0.004[itex]\sqrt{2}[/itex])∏r

^{2}+ 0.004∏r [(2250 - ∏r

^{3}) / 3∏r

^{2})]

Originally I tried simplifying it by distributing the 0.004∏r into the fraction, but whenever I did that the two expressions were never equivalent when I checked them on a graphing calculator. Then I tried using the product and quotient rules to differentiate the second term and the power rule for the first, but based on the graph that was not the correct derivative. I found that the derivative had only one zero at -1 which doesn't make sense because the original function clearly has a local minimum at around x = 4. Any help is appreciated, this is really bugging me. :s