| f(x) | f'(x) | eq differenz | soluz |
|---|---|---|---|
| y' = 0 | y= c | ||
| y'' = 0 | y= c0 +c1x | ||
| y''' = 0 | y= c0 +c1x +c2x2 | ||
| y(n) = 0 | y= c0 +c1x +c2x2 + ... +cn-1xn-1 | ||
| y=x2 | y'= 2x | y= y'x/2 y= y'2/4 y'= 2√y meno soluz |
|
| y=ax² | y'= 2ax | y=y'x/2 y=y'2/(4a) y' = 2√ay meno sol |
|
| y = ax² + c | y' = 2ax x = y'/2a |
y= xy'/(2a) + c y= y'²/(4a) + c y' = √(4a(y - c)) -sol |
|
| y=ax2+bx+c | y'= 2ax+b | ||
| y= 1/x | y'= -1/x² | y'= -y² | y=1/(x+c) |
| y= k/x | y'= -k/x² | y'= -y²/k | y=k/(x+c) |
| y=x2 | D x2= 2x | y'=2x | y=y'x/2 y=y'2/4 |
| y=ax2 | D ax2 =2ax | y'=2ax | y=y'x/2 y=y'2/(4a) |
| y=ax2+bx+c | D ax2+bx+c =2ax+b | y'=2ax+b |