DERIVATIVE OF LOGARITHMIC FUNCTIONS WORKSHEET

Find ᵈʸ⁄dₓ for each of the following functions.

Problem 1 :

y = ln(x)

Problem 2 :

y = log₁₀x

Problem 3 :

y = ln(2x)

Problem 4 :

y = log₂(2x)

Problem 5 :

y = ln(x² - 5x + 1)

Problem 6 :

y = log₅(x² - 5x + 1)

Problem 7 :

y = ln(√x)

Problem 8 :

y = log₁₀√x

Problem 9 :

y = ln(e^x)

Problem 10 :

y = log₇e^x

Problem 11 :

y = ln(sinx)

Problem 12 :

y = log₉(sinx)

Problem 13 :

y = ln(cosx)

Problem 14 :

y = log₃(cosx)

Problem 15 :

y = ln(tanx)

Problem 16 :

y = log₇(tanx)

Problem 17 :

y = ln(sin√x)

Problem 18 :

y = log₄(sin√x)

Answers

1. Answer :

y = ln(x)

2. Answer :

y = log₁₀x

3. Answer :

y = ln(2x)

4. Answer :

y = log₂(2x)

5. Answer :

y = ln(x² - 5x + 1)

6. Answer :

y = log₅(x² - 5x + 1)

7. Answer :

y = ln(√x)

8. Answer :

y = log₁₀√x

9. Answer :

y = ln(e^x)

10. Answer :

y = log₇e^x

11. Answer :

y = ln(sinx)

12. Answer :

y = log₉(sinx)

13. Answer :

y = ln(cosx)

14. Answer :

y = log₃(cosx)

15. Answer :

y = ln(tanx)

16. Answer :

y = log₇(tanx)

17. Answer :

y = ln(sin√x)

18. Answer :

y = log₄(sin√x)

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