6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...
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6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f″(x) - Determine any symmetry - Find the x- and y-intercepts - Uselim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior -Locate any vertical asymptotes - Locate any horizontal asymptotes -Find all intervals where f (x) is increasing and decreasing - Findthe open intervals where f (x) is concave up or concave down
6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f″(x) - Determine any symmetry - Find the x- and y-intercepts - Uselim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior -Locate any vertical asymptotes - Locate any horizontal asymptotes -Find all intervals where f (x) is increasing and decreasing - Findthe open intervals where f (x) is concave up or concave down
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