PD: La respuesta es y = 18x - 46, pero tengo que realizar el procedimiento para llegar hasta aquí. No recibo respuestas incorrectas, gracias!
Hola
En realidad
y = √(x² - 5)³
y = (x^2 - 5)^(3/2)
x = 3
y = (3^2 - 5)^(3/2) = (4)^(3/2) = 8
y' = (3/2) (x^2 - 5)^(1/2) (2 x)
y' = 3 x (x^2 - 5)^(1/2)
y' = 3*3*(3^2-5)^(1/2) = 9 * 2 = 18
y - 8 = (18) * (x - 3)
y - 8 = 18x - 54
y = 18 x - 54 + 8
Recta tangente en x = 3
y = 18 x - 46
******************
There is mistake.
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Verified answer
Hola
En realidad
y = √(x² - 5)³
y = (x^2 - 5)^(3/2)
x = 3
y = (3^2 - 5)^(3/2) = (4)^(3/2) = 8
y' = (3/2) (x^2 - 5)^(1/2) (2 x)
y' = 3 x (x^2 - 5)^(1/2)
x = 3
y' = 3*3*(3^2-5)^(1/2) = 9 * 2 = 18
y - 8 = (18) * (x - 3)
y - 8 = 18x - 54
y = 18 x - 54 + 8
Recta tangente en x = 3
y = 18 x - 46
******************
There is mistake.