1 Mozilla/5.0 (Windows NT 6.1; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/46.0.2490.86 Safari/537.36 /rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi 157.118.205.34 1449234942 2015/12/04 22:15:42 \begin{array}{ccl} \frac{\partial Pr[resp_i = 1]}{\partial age_i} &=& (\beta_3 + 2 \beta_4 (age_i / 10)^2) \frac{exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)}{1+exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)} - (\beta_3 + 2 \beta_4 (age_i / 10)^2) \frac{exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)}{(1+exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2))^2}\\ & = & \frac{(\beta_3 + 2 \beta_4 (age_i / 10)^2) exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)}{1+exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)} \left( (1+exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)) - exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2) \right)\\ & = & \frac{(\beta_3 + 2 \beta_4 (age_i / 10)^2) exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)}{1+exp(\beta_0 + \beta_1 male_i + \beta_2 active_i + \beta_3 age_i + \beta_4 (age_i / 10)^2)} \end{array} 18 <IMG SRC="../cgi-cache/20151204_220642.gif"> 変換 正常に処理されました 20151204_220642 http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html Fri Dec 4 22:15:42 2015