Herrera O'Quinn
04/29/2024 · High School
La función \( f \) se define asi: \( f(x)=\cos ^{2} x-3 \operatorname{sen}^{2} x, 0 \leq x \leq \pi \). (a) Halle las raices de la ecuación \( f(x)=0 \). (b) (i) Halle \( f^{\prime}(x) \). (ii) A partir de lo anterior, halle las coordenadas de los puntos del gráfico de \( y=f(x) \) en los que \( f^{\prime}(x)=0 \). (c) Dibuje aproximadamente el gráfico de \( y=f(x) \), mostrando claramente las coordenadas de todos los puntos en los que \( f^{\prime}(x)=0 \) y de todos los puntos donde el gráfico toque los ejes de coordenadas.
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\( \sqrt{2} \).
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