anti-differentiation

anti-differentiation — 名詞

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

1.名詞C1
釋義

反微分

由導數反推原函數的積分運算

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.

Kenji 在微積分期末考前熬夜練習反微分。

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

Mayumi 在白板上寫滿了反微分的計算步驟。

常見搭配
  • anti-differentiation of [a function]
  • anti-differentiation problems
  • anti-differentiation techniques
  • anti-differentiation rules
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.

同根字

常見搭配

名詞搭配

  • anti-differentiation problem
  • anti-differentiation process
  • anti-differentiation rule

常用片語

  • perform anti-differentiation
  • carry out anti-differentiation

介系詞搭配

  • anti-differentiation of