How to say "derive" in Japanese

• 導き出すみちびきだすCommon
  godan verb, transitive verbCovers deriving or deducing a conclusion or result from information or reasoning; it emphasizes the act of working something out to its final outcome, and suits careful logical argument.
  この実験じっけんの結果けっか、要素ようそＴが構造こうぞう全体ぜんたいを決定けっていしているという推定すいていが導き出みちびきだされる。↗

  The result of this experiment leads to our presumption that element T determines the entire structure.
• 導くみちびくJLPT N1approx.Common
  godan verb, transitive verbCovers deriving and deducing in the same logical sense. Because the verb also means to guide or lead, context must make the derivation reading clear; 導き出す is the more explicit choice for a conclusion.
  このことから、大規模だいきぼな人口じんこう移動いどうは経済けいざい変化へんかの結果けっかではないという議論ぎろんを導みちびくことができる。↗

  From this we can derive the argument that major population shifts are not the result of economic change.

For the logical sense of 'derive' both work: 「導き出す」 stresses reasoning through to a conclusion or result, while 「導く」 is the plainer verb, which also means to guide, so context carries the meaning.

Usage comparisons are AI-assisted and cross-checked by multiple models; for study reference only

• 導き出すみちびきだすto draw (conclusion)
• 導くみちびくto derive
• 引き出すひきだすto bring out (talent, potential, beauty, flavour, etc.)