Calculus Basics Quiz

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9 Questions

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

$6x$

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

$rac{x^2}{2} + C$

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

4

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

$15x^2$

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

$2x^3 + \frac{3}{2}x^2 - 2x + C$

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

-4

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

$x^4 - \frac{2}{3}x^3 + \frac{5}{2}x^2 + C$

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

$28x^3 - 6x + 2$

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

10

Test your understanding of basic calculus concepts with these simple questions on derivatives, integrals, and tangent lines. Perfect for university students looking to practice their calculus skills.

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