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Questions and Answers
What is the derivative of $f(x) = 3x^4 - 8x^3 + 5x^2 - 7x + 2$?
What is the derivative of $f(x) = 3x^4 - 8x^3 + 5x^2 - 7x + 2$?
- $f'(x) = 12x^3 - 8x^2 + 10x - 7$
- $f'(x) = 12x^3 - 24x^2 + 5x - 7$
- $f'(x) = 12x^3 - 24x^2 + 10x + 7$
- $f'(x) = 12x^3 - 24x^2 + 10x - 7$ (correct)
What is the indefinite integral of $g(x) = rac{1}{x} + rac{1}{ an(x)}$?
What is the indefinite integral of $g(x) = rac{1}{x} + rac{1}{ an(x)}$?
- $ ext{ln}|x| - ext{ln}| an(x)| + C$ (correct)
- $ ext{ln}|x| - rac{1}{ an(x)} + C$
- $ ext{ln}|x| + rac{1}{ an(x)} + C$
- $ ext{ln}|x| + ext{ln}| an(x)| + C$
Solve for $x$: $2^{3x-1} = 8$
Solve for $x$: $2^{3x-1} = 8$
- $x = \frac{4}{3}$
- $x = \frac{1}{2}$
- $x = \frac{1}{3}$ (correct)
- $x = \frac{3}{2}$
