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Questions and Answers
What is the derivative of the function $f(x) = 3x^2 + 5x$?
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 $g(x) = 4x^3 + 2x^2 - 3x$?
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?
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 $\int_0^1 x^2 ,dx$?
What is the value of $\int_0^1 x^2 ,dx$?
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