1. Welcome to Derivative Jeopardy 2

2. Derivative Jeopardy 2 Final Jeopardy 300 400 100 Implicit 200 300 400 100 200 100 400 300 Simplifying Trig and deriv 200 300 400 100 Anything goes 200 Trig derivative

3. 100 simplifying trig and deriv 100 simplifying trig and deriv Simplify and then take the Derivative Y = sin2x cos2x cos2x

4. 100 Y = tan2x Y’ = 2sec 2 (2x)

5. 200 simplifying trig and deriv Simplify and find the derivative Y = 8sin3x cos3x

6. 200 Y=4sin6x y’ = 24cos6x

7. 300 300 Simplify and find deriv Y = 6cos 2 (5x) – 6sin 2 (5x)

8. 300 Y=6cos(10x)Y’=-60sin(10x)

9. 400 Simplify and find the derivative Y= _1__ Sec 2 x Sec 2 x

10. 400 y=cos 2 x y’ = - sin2x y’ = - sin2x

11. 100 trig derivatives Y = x tanx

12. 100 Y’ = xsec 2 x + tanx

13. 200 trig derivatives Y= (2 + sin5x) -4

14. 200 Y’ = -20cos5x (1 + sin5x) 5

15. 300 y = sin(secx) y = sin(secx)

16. 300 Y’=cos(secx)secxtanx

17. 400 Y=__sinx__ 1 + cosx

18. 400 y’ = __1___ y’ = __1___ 1 + cosx 1 + cosx

19. 100 Implicit differentiation 100 Implicit differentiation + y = 7 x 2 + y 2 = 7

20. 100 Y’ = -x/y

21. 200 5x 2 + 3xy + y 2 = 4

22. 200 - Y’ = __-10x – 3y__ 3x + 2y

23. 300 -3x 4 – 5xy + y 3 = 7x

24. 300 Y’ = _7 + 12x 3 +5y -5x + 3y 2

25. 400 Find the second derivative 6x 2 – y 2 = 7

26. 400 Y” = -42/y 3

27. Anything goes 100 find the equation of the line tangent to find the equation of the line tangent to x 2 – 3y 2 = 1 at (2,1) x 2 – 3y 2 = 1 at (2,1)

28. 100 Y=2/3x – 7/3

29. 200 Find the equation of the line normal to X 2 -2xy + 3y = 4 at (2,0)

30. 200 y = -1x + 2

31. 300 Find the equation of the line tangent to Y = 2sinx at x =pi/4

32. 300

33. 400 xf(x)g(x)f ' (x)g ' (x) 21-21 0pi 11/2 1 -1/26 Find the derivative of F(g(x)) at x = 1

34. 400 -12

35. Final Jeopardy The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50 years? (keep the whole value of k in the calculator – don’t round until the end)

36. Final Jeopardy 9.797 grams