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Grade 12 College

Twelfth Grade (Grade 12) Calculus Questions

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Grade 12 Derivatives
What is the second derivative of f(x)=3x3+2x2?
  1. f(x)=18x+4
  2. f(x)=9x2+4x
  3. f(x)=18
  4. f(x)=0
Grade 12 Limits
Grade 12 Derivatives
Find the derivative. f(x)=5x26x+4
  1. f(x)=10x-6
  2. f(x)=5x-6
  3. f(x)=25x
  4. f(x)=7x-5
Grade 12 Limits
What is the limit of f(x)=3x3+2x2 as x approaches 5?
  1. limx5f(x)=425
  2. limx5f(x)=452
  3. limx5f(x)=542
  4. limx5f(x)=245
Grade 12 Derivatives
Identify the intervals on which the given function is increasing and decreasing.
f(x)=x3+x2-x
  1. Increasing: (-,-1)(13,); decreasing: (-1,13)
  2. Increasing: (-,-1); decreasing: (-1,13)
  3. Increasing for all x
  4. Increasing: (-1,13); decreasing: (-,-1)(13,)
Grade 12 Integrals
Grade 12 Derivatives
On f(x)=2x5+x3-3x
  1. (-0.65,1.4) is a relative and absolute maximum.
  2. (0.65,-1.4) is a relative and absolute minimum.
  3. (-0.65,1.4) is a relative maximum.
  4. (0.65,-1.4) is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
Grade 12 Derivatives
Find the derivative. f(x)=2x0.4-8x-0.02
  1. f(x)=2x-0.4-8x-1.02
  2. f(x)=0.8x-0.6+0.16x-1.02
  3. f(x)=2+0.16x-1.02
  4. f(x)=0.5x-0.6+0.4x-1.02
Grade 12 Derivatives
What is the derivative of f(x)=3x3+2x2?
  1. f(x)=9x2+4x
  2. f(x)=3x2+2x
  3. f(x)=0
  4. f(x)=12x2+6x
Grade 12 Limits
Describe the end behavior of f(x)=2x-3.
  1. As x-,y-3; as x,y
  2. As x-,y; as x,y
  3. As x-3,y; as x,y
  4. As x-,y; as x,y-3
Grade 12 Derivatives
Find the derivative. f(x)=5x7
  1. f(x)=57x6
  2. f(x)=755x2
  3. f(x)=4x6
  4. f(x)=5x2
Grade 12 Derivatives
Differentiate. f(x)=4x10025
  1. f(x)=4x9925
  2. f(x)=8x105
  3. f(x)=x99625
  4. f(x)=16x99
Grade 12 Limits
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