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Calcular la pendiente de la función $y$ en el punto $x=\\var{d}$.

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\$y = \\simplify{ {a}*x^2 + {b}x + {c}} \$

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En primer lugar, caculamos la primer derivada.

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$\\displaystyle \\frac{dy}{dx}=$ [[1]]

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Ejemplo de respuesta: Escriba 3x+2, si la respuesta es $3x+2$.

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La pendiente en el punto donde $x=\\var{d}\\;$ es:$f'(\\var{d})$=[[0]]

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Escriba el valor aproximado a dos cifras decimales.

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Ingrese la respuesta con dos cifras decimales.

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Encuentre las coordenadas del punto en el cual la función tiene un máximo o un mínimo

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$y=\\simplify {{f}x^2+{g}x+{h}}$

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Determine la primer y segunda derivada $y$.

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$\\displaystyle \\frac{dy}{dx}=$ [[2]]

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$\\displaystyle \\frac{d^2y}{dx^2}=$ [[3]]

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Calcular el valor crítico $x$ y $y$, tal que $\\displaystyle \\frac{dy}{dx}=0$.

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$x$-coordenada $=$ [[0]]

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$y$-coordenada $=$ [[1]]

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El punto es un máximo o un mínimo [[4]]

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\n

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Ingrese la respuesta con dos cifras decimales.

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Ingrese la respuesta con dos cifras decimales.

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maximum

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minimum

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Una bola es lanzada verticalmente hacia arriba

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La posición está dada por la fórmula, con $t$ en segundos y $y$ en metros.

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\$y=\\var{z}t-\\var{w}t^2. \$

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Cuál es la máxima altura alcanzada?

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$\\displaystyle \\frac{dy}{dt}=$ [[0]]

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El valor de la altura máxima, aproximado a dos cifras decimales, es:

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$y=$ [[1]]

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Ingrese la respuesta con dos cifras decimales.

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Is the stationary point a maximum?

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