Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Logarithmic functions - Differentiation - basic techniques.
Test Yourself 2.


 

Differentiate each of the following:
Basic structure 1. y = 3 ln 4 2. y = loge 5x
  3. y = ln(2 - x2) 4. y = loge (3x2 +2x - 7)
  5. y = loge (x2 + 3x) 6. y = loge (ex - 2)
Chain rule 7. y = 2[ln (2 - 3x)]2

8. y = 7(3 loge(5x+2))4
  9. y = (loge x)2 10. y = loge(loge x)
  11. y = (3logex + 7)6 12. y = (3x + 2loge 3x)4
Product rule 13. y = x3 ln 2x 14. y = (x+1) ln x
  15. y = 4x2 ln(2 - x) 16. y = (x2 + 1)loge 2x
  17. y = ex loge x 18. y = 3e2x-1 loge(2x-1)
Quotient rule 19. 20.
 

21.

22. .
  23. . 24.
Use log laws 25. y = 3 ln (4x2). 26. y = loge (2x-1)3.
  27. 28. .
  29. . 30.