differential calculus
differential calculus — 名詞
1. a field of mathematics that examines how quickly one thing changes when somethin
微分學
研究函數變化率的數學分支
a field of mathematics that examines how quickly one thing changes when something else changes — for example, finding the speed of a falling object at a particular instant, or measuring how fast the temperature of a hot drink drops over time — using mathematical tools called derivatives.
Talia learned differential calculus in her second year of university study.
Talia 在大學二年級修了微分學。
noun phrase as object of 'learned'
The engineering team used differential calculus to find the rocket's speed during takeoff.
工程團隊運用微分學來計算火箭起飛時的速度。
used + infinitive to express purpose
In differential calculus, a derivative shows how steep a curve is at a chosen point.
在微分學中，導數能顯示曲線上任一點的陡峭程度。
Aaron used differential calculus to work out how fast water was flowing from the pipe.
Aaron 運用微分學計算出水從水管流出的速度。
Differential calculus helps weather scientists predict how quickly a storm's wind will grow stronger.
微分學幫助氣象科學家預測暴風的風力會增強得多快。
- calculus
broader term that includes both differential and integral calculus
- integral calculus
the other main branch of calculus, concerned with areas, volumes, and accumulated totals
用法筆記
Differential calculus is one of the two main branches of calculus, the other being integral calculus. Though the concepts are taught in some advanced high school programmes, the term is most commonly encountered in university-level mathematics, physics, and engineering courses.