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Welcome to Derivative Jeopardy 2

Test your skills in simplifying trigonometric functions and finding derivatives with implicit differentiation. Ace the challenging questions and brush up your calculus knowledge!

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Welcome to Derivative Jeopardy 2

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  1. Welcome toDerivativeJeopardy 2 Are you going to ace the test?

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

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

  4. 100 Y = tan2x Y’ = 2sec2(2x)

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

  6. 200 Y=4sin6x y’ = 24cos6x

  7. 300 Simplify and find deriv Y = 6cos2 (5x) – 6sin2 (5x)

  8. 300 Y=6cos(10x) Y’=-60sin(10x)

  9. 400 Simplify and find the derivative Y= _1__ Sec2 x

  10. 400 y=cos2 x y’ = - sin2x

  11. 100 trig derivatives Y = x tanx

  12. 100 Y’ = xsec2 x + tanx

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

  14. 200 Y’ = -20cos5x (1 + sin5x)5

  15. 300 y = sin(secx)

  16. 300 Y’=cos(secx)secxtanx

  17. 400 Y=__sinx__ 1 + cosx

  18. 400 y’ = __1___ 1 + cosx

  19. 100 Implicit differentiation x2 + y2 = 7

  20. 100 Y’ = -x/y

  21. 200 5x2 + 3xy + y2 = 4

  22. 200 Y’ = __-10x – 3y__ 3x + 2y -

  23. 300 -3x4 – 5xy + y3 = 7x

  24. 300 Y’ = _7 + 12x3+5y -5x + 3y2

  25. 400 Find the second derivative 6x2 – y2 = 7

  26. 400 Y” = -42/y3

  27. Anything goes 100 find the equation of the line tangent to x2 – 3y2 = 1 at (2,1)

  28. 100 Y=2/3x – 7/3

  29. 200 Find the equation of the line normal to X2 -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 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

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