Calculus Mastery Challenge
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Questions and Answers

What is the derivative of $f(x) = 3x^4 - 8x^2 + 5$?

  • $f'(x) = 12x^3 - 16x$ (correct)
  • $f'(x) = 6x^3 - 8x$
  • $f'(x) = 6x^3 - 16x$
  • $f'(x) = 12x^3 - 8x$

    • What is the solution to the equation $2x^2 - 5x + 2 = 0$?

  • $x = 2, -\frac{1}{2}$
  • $x = 2, \frac{1}{2}$ (correct)
  • $x = -2, -\frac{1}{2}$
  • $x = -2, \frac{1}{2}$

    • What is the value of the definite integral $\int_{0}^{\pi} 2x \sin(x) ,dx$?

  • $\pi$
  • $0$
  • $2\pi$ (correct)
  • $-\pi$

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