| x2+4 | ||
y = ln | ||
| ex+1 |
| 1 | 2x(ex + 1) − (x2 + 4) * ex | |||||||||
... = | * | = | ||||||||
| (ex + 1)2 |
| ex + 1 | 2xex + 2x − x2ex + 4ex | |||
= | * | = | ||
| x2 + 4 | (ex + 1)2 |
| −ex(x2 − 2x − 4) + 2x | ||
= | ||
| (ex + 1)(x2 + 4) |
| ex+1 | x2+4 | ex+1 | ||||
y'= | *( | )'= | *[(x2+4)'(ex+1)−(x2+4)(ex+1)']= | |||
| x2+4 | ex+1 | x2+4 |
| ex+1 | ex+1 | |||
= | (2x(ex+1)−(x2+4)ex)= | (2xex+2x−x2ex−4ex) | ||
| x2+4 | x2+4 |