Calculus Archive: Questions from April 03, 2023
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Si f(x)=2x+1f(x)=2x+1f, left parenthesis, x, right parenthesis, equals, 2, x, plus, 1 y g(x)=x^(2)+7g(x) =x 2 +7g, left parenthesis, x, right parenthesis, equals, x, squared, plus, 7, ¿cuál de las s
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f(x)=x 3 -9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x ¿Cuál es la tasa de cambio promedio de fff en el intervalo [1,6][1,6 ]abrir corchete, 1, coma, 6, cerrar corchete
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Considera lo siguiente. f(x, y, z) = xe3yz, P(2, 0, 2), u = 2/3,
− 1/3, 2/3
(a) Encuentre el gradiente de f.
∇f(x, y, z) =
(b) Evalúe el gradiente en el punto P.
∇f(2, 0, 2) =
(c) Encuentre la
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Encuentre la derivada direccional de la función en el punto dado
en la dirección del vector v. f(x, y, z) = xyz , (3, 3, 9), v = −1,
−2, 2 Duf(3 , 3, 9) =
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