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Questions and Answers
What is the derivative of $f(x) = e^x imes an(x)$?
What is the derivative of $f(x) = e^x imes an(x)$?
- $e^x imes ( an(x) + rac{1}{ an^2(x) + 1})$ (correct)
- $e^x imes ( an(x) + rac{1}{ an(x)})$
- $e^x imes ( an(x) - rac{1}{ an(x)})$
- $e^x imes ( an(x) - rac{1}{ an^2(x) + 1})$
What is the arc length of the curve defined by $y = e^{-x^2}$ from $x = 0$ to $x = 1$?
What is the arc length of the curve defined by $y = e^{-x^2}$ from $x = 0$ to $x = 1$?
- $rac{ ext{erf}(1)}{ ext{erf}(1)^2}$
- $rac{ ext{erf}(1)}{ ext{erf}(rac{1}{ ext{erf}(1)})}$
- $ ext{erf}(1)^2$
- $rac{ ext{erf}(1)}{2}$ (correct)
What is the limit of $rac{ an(x)}{x}$ as $x$ approaches 0?
What is the limit of $rac{ an(x)}{x}$ as $x$ approaches 0?
- $rac{ an(0)}{0}$
- Undefined
- 0
- 1 (correct)
What is the integral of $e^{-x^2}$ with respect to $x$?
What is the integral of $e^{-x^2}$ with respect to $x$?
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What is the Taylor series expansion of $e^{-x^2}$?
What is the Taylor series expansion of $e^{-x^2}$?
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What is the value of $\lim_{x \to \infty} e^{-x^2}$?
What is the value of $\lim_{x \to \infty} e^{-x^2}$?
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