Assignments

Differentiate the following functions.

1. $y=(3x+4)^3$

2. $y=\sin(2x+5)$

3. $y=a^{2x+3}$

4. $y=\ln(5x+2)$

5. $y=e^{3x^2+5x+6}$

6. $y=\sqrt{3x+6}$

7. $y=\sin(\sqrt{x})$

8. $y=\displaystyle\frac{1}{3x+4)^2}$

9. $y=\sin(2x)$

10. $y=\cos(-x)$

11. $y=\sqrt[4]{4x^2+6x+2}$

12. $y=a^{3x^2+2}$

13. $y=e^{\sqrt{x}}$

14. $y=\sin(4x^2+3x)$

15. $y=\sin^2(x)+\cos^2(x)$

16. $y=\tan(3x)$

17. $y=(3x+1)^5\cos(x)$

18. $y=\sin(5x^3+2x+1)$

19. $y=(2x+1)^{0.6}$

20. $y=\displaystyle\frac{\sin(3x)}{x}$

21. $y=e^{\ln(x)}$

22. $y=1-2\sin^2(x)$

23. $y=\sin(\sqrt{x^2+1})$

24. $y=e^{\sqrt[3]{4x+1}}$

25. $y=\sin(\cos(x))$

26. $y=\ln(\displaystyle\frac{x^2-2x}{x})$

27. $y=x\ln(\displaystyle\frac{1}{x})$

28. $y=\displaystyle\frac{1}{\sqrt{5x+12}}$

29. $y=e^{\sin(\sqrt{x})}$

30. $y=\sin[(4x+5)^{0.6}]$

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