1. Umm Al-Qura University
بسم الله الرحمن الرحيم
Umm Al-Qura University
Health Sciences College at Al-Leith
Department of Public Health
Lecture (9)

2. Higher order derivatives

3. Objective:
1/ Calculate Higher Derivative of Functions by using General Low.

4. Higher order derivatives :

5. Example
Solution:
f’(x) = 4(3) x2
f’’(x) = 12(2) x
f’’’(x) = 24

6. f’(x) = x2 ex + ex (2x) = x2 ex + 2xex
Example
If f(x) = x2 ex find f’’(x)
Solution:
f’(x) = x2 ex + ex (2x) = x2 ex + 2xex
f’’(x) = x2 ex + 2xex + 2[xex + ex (1)]
f’’(x) = x2 ex + 2xex + 2xex + ex

7. Thanks Radia