Calculus Basics Quiz
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Questions and Answers

What is the derivative of $3x^2$ with respect to x?

  • $3x$
  • $x^2$
  • $2x$
  • $6x$ (correct)

    • What is the integral of $2x$ with respect to x?

  • $rac{x^2}{2} + C$ (correct)
  • $4x + C$
  • $x^2 + C$
  • $2x^2 + C$

    • What is the slope of the line tangent to the curve $y = 4x - 3$ at the point (2, 5)?

  • 5
  • 2
  • 4 (correct)
  • 3

    • What is the derivative of $5x^3$ with respect to x?

    <p>$15x^2$</p> Signup and view all the answers

    What is the integral of $6x^2 + 3x - 2$ with respect to x?

    <p>$2x^3 + \frac{3}{2}x^2 - 2x + C$</p> Signup and view all the answers

    What is the slope of the line tangent to the curve $y = 2x^2 - 4x + 1$ at the point (1, -1)?

    <p>-4</p> Signup and view all the answers

    What is the integral of $4x^3 - 2x^2 + 5x$ with respect to x?

    <p>$x^4 - \frac{2}{3}x^3 + \frac{5}{2}x^2 + C$</p> Signup and view all the answers

    What is the derivative of $7x^4 - 3x^2 + 2x$ with respect to x?

    <p>$28x^3 - 6x + 2$</p> Signup and view all the answers

    What is the slope of the line tangent to the curve $y = 3x^2 + 4x - 1$ at the point (1, 6)?

    <p>10</p> Signup and view all the answers

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