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- 1. Multiple ChoiceFind the derivative of f(x) = 6x30 -2x15 + 4x3 - 2x + 1f'(x) = 18x29 + 30x15 + 12x3f'(x) = 180x29 - 30x14 + 12x2f'(x) = 180x29 - 30x14 + 12x2 - 2f'(x) = 180x29 - 30x14 + 12x2 +1
- 2. Multiple Choice
If the position function for a particle is s(t) = -t2 - t, what is the instantaneous velocity function for the particle?
v(t) = -2
v(t) -2t - 1
v(t) = t3
v(t) = -t
- 3. Multiple Choice
If the position of a particle is represented by s(t) = -t2 + 1, what is its position at t = 1?
Position = 0
Position = 1
Position = 2
Position = -1
- 4. Multiple Choice
If the position of a particle is represented by s(t) = -t2 + 1, what is its instantaneous velocity at t = 1?
Velocity = 0
Velocity = 1
Velocity = -1
Velocity = -2
- 5. Multiple Choice
Find the derivative. f(x) = -8x-3 + 5x
f'(x) = -24x-4 + 5
f'(x) = 24x-4 + 5
f'(x) = 24x-2 + 5
f'(x) = 24x-4 - 5
- 6. Multiple Choice
Find the slope of the tangent line to f(x) = -3x2-6x at x = 1.
m = 0
f'(x) = -6x - 6
f'(x) = 6x
m = -12
- 7. Multiple ChoiceFind the derivative of f(x)=(x3 - 2x2)(3x2+1)(3x2-4x)(6x)3x2-4x+6x15x4-24x3+ 3x2-4x18x3-4x
- 8. Multiple Choice
s(t) = t2 - 20
Find the AVERAGE velocity from t = 3 to t = 5.
2
4
6
8
- 9. Multiple Choice
At which x-value is f continuous but not differentiable?abcd - 10. Multiple ChoiceWhere is the graph not differentiable?x = -2, -1, 0, 1x = -2, -1, 1x = -2, -1x = -1,
- 11. Multiple Choice
Which shows the quotient rule correctly?
- 12. Multiple Choice
At which point(s) will the slopes of the tangent line are zero?
at C only
at points A, C and E only
at point B and D only
at points A and E only
- 13. Multiple Choice
Let y = (x - 1)(x + 2). Find dy/dx.
2x + 1
2x - 1
4x - 1
2x2 + x - 1
- 14. Multiple Choice
What's the derivative?
- 15. Multiple Choice
What's the derivative?
- 16. Multiple Choice
What's the definition of derivative?
Instantaneous rate of change
Slope of tangent line
- 17. Multiple ChoiceDifferentiate4x8+60x6+12x312x7+36x232x7+36x220x6
- 18. Multiple ChoiceWhat is the limit?DNEInfinity012
- 19. Multiple ChoiceUse the quotient rule to determine the derivative.8x4 -60x216x4(8x4 -60x2)/(2x2-5)23x
- 20. Multiple ChoiceWho said, "we elves stick to the four food groups: candy, candy canes, candy corns, syrup?"JudyHermeyBuddyBernard
- Answer choicesTagsAnswer choicesTags