Calculus Terminology
Some terminology from a calculus book:
å¾®åˆ†å¦ – ã³ã¶ã‚“ãŒã – differential calculus
ç©åˆ†å¦ – ã›ãã¶ã‚“ãŒã – integral calculus
関数 – ã‹ã‚“ã™ã† – a (mathematical) function
定数関数 – ã¦ã„ã™ã†ã‹ã‚“ã™ã† – a constant function
1次関数 – ã„ã¡ã˜ã‹ã‚“ã™ã† – linear function
2次関数 – ã«ã˜ã‹ã‚“ã™ã† – quadratic function
指数関数 – ã—ã™ã†ã‹ã‚“ã™ã† – exponential function
三角関数 – ã•ã‚“ã‹ãã‹ã‚“ã™ã† – trigonometric function
逆三角関数 – ãŽã‚ƒãã•ã‚“ã‹ãã‹ã‚“ã™ã† – inverse trigonometric function
æ¥µé™ – ãょãã’ã‚“ – a limit (both mathematical and non-)
自然対数 – ã—ãœã‚“ãŸã„ã™ã† – natural logarithm
微分 – ã³ã¶ã‚“ – differential
二階微分 – ã«ã‹ã„ã³ã¶ã‚“ – second order differential
連続 – れんãžã – continuous
ä¸é€£ç¶š – ãµã‚Œã‚“ãžã – discontinuous
尖点 – ã›ã‚“ã¦ã‚“ – cusp
ç„¡é™å¤§ – ã‚€ã’ã‚“ã ã„ – infinity
定義ã•ã‚Œã‚‹ – ã¦ã„ãŽã•ã‚Œã‚‹ – is defined
定義ã•ã‚Œã¾ã›ã‚“ – ã¦ã„ãŽã•ã‚Œã¾ã›ã‚“ – is undefined
定義域 – ã¦ã„ãŽã„ã – domain (of a function)
導関数 – ã©ã†ã‹ã‚“ã™ã† – derivative, derived function
ç©ã®å¾®åˆ†ã®å…¬å¼ – ã›ãã®ã³ã¶ã‚“ã®ã“ã†ã—ã – the product rule for derivatives
商ã®å¾®åˆ†ã®å…¬å¼ – ã—ょã†ã®ã³ã¶ã‚“ã®ã“ã†ã—ã – the quotient rule for derivatives
That covers the first several chapters.