| f(x) | f'(x) | Beispiele |
|---|---|---|
| c | 0 | (3)'=0 (-5)'=0 |
| xn | n⋅xn-1 | (x)'=(x1)'=x0=1 (x2)'=2x (x3)'=3x2 (x4)'=4x3 |
| c⋅g(x) | c⋅g'(x) |
(4x3)'=4(x3)'=4⋅3x2=12x2 (0,5x4)'=0,5(x4)'=0,5⋅4x3=2x3 |
| g(x)+h(x) | g'(x)+h'(x) |
(x4+x2)'=(x4)'+(x2)'
(3x2+2x+1)'=(3x2)'+(2x)'+(1)' = 6x+2 |