Ward Tucker
03/21/2024 · High School
SEA \( F(x)=x e^{-8 x^{2}} \) HALLAR LOS INTERUALOS DE CRECIMIENTO Y DE DECRECIMIENTO Y LOS EXTREMOS LOCALES DE F
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- Intervalos de crecimiento: \( (-\frac{1}{4}, \frac{1}{4}) \)
- Intervalos de decrecimiento: \( (-\infty, -\frac{1}{4}) \) y \( (\frac{1}{4}, \infty) \)
- Mínimo local: \( x = -\frac{1}{4} \) con valor \( F\left(-\frac{1}{4}\right) = -\frac{1}{4} e^{-0.5} \)
- Máximo local: \( x = \frac{1}{4} \) con valor \( F\left(\frac{1}{4}\right) = \frac{1}{4} e^{-0.5} \)
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