anti-differentiation

anti-differentiation — noun

1. the mathematical process of working backwards from a derivative to recover the o

1.名詞C1
釋義

the mathematical process of working backwards from a derivative to recover the original function, plus an unknown constant

例句

Kenji stayed up late practising anti-differentiation before his final calculus paper.

Mayumi filled three whiteboard panels with anti-differentiation steps during her study session.

同義詞
  • integration

    a broader term that covers both definite and indefinite integration; anti-differentiation refers specifically to the indefinite case

  • indefinite integration

    a synonym used when emphasising the lack of limits and the presence of the +C constant

反義詞

用法筆記

Used interchangeably with 'integration' in introductory calculus, though 'anti-differentiation' highlights the inverse relationship with differentiation rather than the geometric idea of area.

常見錯誤

❌I used anti-differentiation to find the slope at x = 3.
✅I used differentiation to find the slope; anti-differentiation recovers the original function from the slope.
💡Anti-differentiation moves in the opposite direction from differentiation; do not confuse which one finds the slope.