Calculus 1 Practice Test

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Questions and Answers

What is the limit of (3x^2 - 2x + 5) / (x - 1) as x approaches 1?

  • Does not exist
  • 5
  • 7 (correct)
  • 3

Which of the following is the correct derivative of y = 4x^3 - 2x^2 + 3x - 7?

  • y' = 12x^2 - 2x + 3
  • y' = 12x^2 - 2x
  • y' = 12x^2 - 4x
  • y' = 12x^2 - 4x + 3 (correct)

What is the integral of 2x*cos(x^2) dx?

  • cos(x^2) + C
  • sin(x^2) + C
  • 2sin(x^2) + C (correct)
  • 2cos(x^2) + C

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Study Notes

Limit of a Function

  • The limit of (3x^2 - 2x + 5) / (x - 1) as x approaches 1 needs to be evaluated.

Derivative of a Function

  • The derivative of y = 4x^3 - 2x^2 + 3x - 7 needs to be found.

Integral of a Function

  • The integral of 2x*cos(x^2) dx needs to be solved.

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