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Questions and Answers
Which of the following is the anti-derivative of the function $f(x) = 3x^2 + 4x + 5$?
Which of the following is the anti-derivative of the function $f(x) = 3x^2 + 4x + 5$?
- $F(x) = 3x^3 + 4x^2 + 5x + C$
- $F(x) = 3x^2 + 4x + 5 + C$
- $F(x) = \frac{3},{2}x^3 + 2x^2 + 5x + C$
- $F(x) = x^3 + 2x^2 + 5x + C$ (correct)
Which of the following is equivalent to $e^{2\ln(x)}$?
Which of the following is equivalent to $e^{2\ln(x)}$?
- $x^{2\ln(2)}$
- $2^x$
- $x^2$ (correct)
- $2x$
What is the derivative of the function $f(x) = \ln(2x)$?
What is the derivative of the function $f(x) = \ln(2x)$?
- $f'(x) = \ln(x)$
- $f'(x) = \frac{2},{x}$
- $f'(x) = \frac{1},{2x}$
- $f'(x) = \frac{1},{x}$ (correct)
