| Product Rule: | d | (uv) = u | dv | + v | du | Quotient Rule: | d | u | = | v du - u dv | |
| dx | dx | dx | dx | v | v2 |
| d | (f(x))n = | n (f(x))n-1 f '(x) | d | ln x = | 1 / x | ||
| dx | dx | ||||||
| d | ex = | ex | d | ax = | ax ln a | ||
| dx | dx | ||||||
| d | sin x = | cos x | d | cos x = | −sin x | ||
| dx | dx | ||||||
| d | tan x = | sec2 x | d | sec x = | sec x tan x | ||
| dx | dx | ||||||
| d | cot x = | −cosec2 x | d | cosec x = | −cosec x cot x | ||
| dx | dx | ||||||
| d | sin-1 x = | 1 | d | cos-1 x = | -1 | ||
| dx | √(1 - x2) | dx | √(1 - x2) | ||||
| d | tan-1 x = | 1 | |||||
| dx | 1 + x2 |
| You can define functions using these operators: | ||||
| + | - | * | / | ^ |
| sqrt( ) | ln( ) | exp( ) | pi | |
| sin( ) | cos( ) | tan( ) | ||
| asin( ) | acos( ) | atan( ) | ||