Brewer Davison
08/14/2024 · Primary School
Tarea 6 Desarrolla en hojas de tu cuaderno cada uno de los ejercicios siguientes 1.- Halla la ecuacion de la recta tangente a \( f(x)=\frac{1-3 x^{2}}{2} \) en \( x=2 \) 2.- Halla la ecuacion de la recta tangente a \( f(x)=\sqrt{x+12} \) en \( x=-3 \) 3.- Obten la ecuacion de la recta tangente a \( y=\frac{x^{2}}{x-4} \) en \( x=-4 \) 4.- Escribe la ecuacion de la recta tangente a la curva \( y=2 x^{2}-3 x \) y que tenga pendiente -7 5.- Determina la ecuacion de la recta tangente a la curva \( f(x)=\frac{x(2 x+1)}{\sqrt{x+2}} \) en el punto \( H(2,5) \)
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1. \( y = -6x + \frac{13}{2} \)
2. \( y = \frac{1}{6}x + \frac{7}{2} \)
3. \( y = \frac{3}{4}x + 1 \)
4. \( y = -7x - 2 \)
5. \( y = mx + b \) (donde \( b \) se determina al sustituir \( x=2 \) y \( y=5 \))
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