Derivative, Integral, and Limit Problems
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Questions and Answers

What is the derivative of the function $f(x) = 3x^2 + 5x$?

  • $6x + 5x$
  • $6x^2 + 5x$
  • $6x + 5$ (correct)
  • $6x^2 + 5$

    • What is the integral of the function $g(x) = 4x^3 + 2x^2 - 3x$?

  • $x^4 + \frac{2}{3}x^3 - \frac{3}{2}x^2$
  • $4x^4 + \frac{2}{3}x^3 - \frac{3}{2}x^2 + C$
  • $x^4 + \frac{2}{3}x^3 - \frac{3}{2}x^2 + C$ (correct)
  • $4x^4 + \frac{2}{3}x^3 - \frac{3}{2}x$

    • What is the limit of the function $h(x) = \frac{x^2 - 9}{x - 3}$ as $x$ approaches 3?

  • $0$
  • $3$
  • Undefined
  • $6$ (correct)

    • What is the value of $\int_0^1 x^2 ,dx$?

    <p>$\frac{1}{3}$</p> Signup and view all the answers

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