Assignments

Differentiate the following functions.

1.  y=x^7

Solution

2. y=4\ln(x)

Solution

3.  y=8x^2-\sin(x)

Solution

4. y=5-x

Solution

5. y=14x^3-5x^3-x^3

Solution

6.  y=3\sin(x)-\cos(x)

Solution

7. y=3e^x-x^2

Solution

8. y=x^8

Solution

9. y=8x

Solution

10. y=8^x

Solution

11.  y=3x^3+6x

Solution

12.  y=3^x

Solution

13. y=8.3^x

Solution

14.  y=8x^3

Solution

15. y=\log_6(x)

Solution

16. y=\sin(x)+3\cos(x)

Solution

17.  y=\displaystyle\frac{7x}{x}+6

Solution

18. y=5x+3\sin(x)

Solution

19. y=\displaystyle\frac{1}{x}

Solution

20.  y=\sqrt[3]{x}

Solution

21. y=(x^3+\sqrt{x})\sqrt[5]{x^3}

Solution

22.  y=2\sin({\frac{1}{2}x})\cos({\frac{1}{2}x})

Solution

23. y=1-2\sin^2(\frac{1}{2}x)

Solution

24. y=5(6\cos^2(\frac{1}{2}x)-3)

Solution

25. y=\sin^2(x)+\cos^2(x)

Solution

26. y=6e^x+3\cos(x)

Solution

27. y=\displaystyle\frac{8x^2+5x}{x^2}

Solution

28. y=3\ln(x)+5.7^x

Solution

29. y=\sin[x[\sin^2(x)+\cos^2(x)]]

Solution

30. y=\ln(x^2)

Solution

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