Limits and Derivatives Quiz

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Questions and Answers

What is the limit of the function f(x) = (x^2 - 1)/(x - 1) as x approaches 1?

  • 0
  • 2 (correct)
  • 1
  • Does not exist

If f(x) = sin(x), what is the derivative of f(x) with respect to x?

  • tan(x)
  • -sin(x)
  • sec^2(x)
  • cos(x) (correct)

What is the derivative of the function g(x) = e^(3x^2 + 2x + 1) with respect to x?

  • (6x^2 + 2x)e^(3x^2 + 2x + 1)
  • (3x^2 + 2x + 1)e^(3x^2 + 2x + 1)
  • (6x^2 + 2)e^(3x^2 + 2x + 1)
  • (6x + 2)e^(3x^2 + 2x + 1) (correct)

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