f(x)/ g(x) 2. F(x) = (x - N)/(x + N). Find the equation of a tangent line at the point x, = 1. Apply the quotient rule o
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f(x)/ g(x) 2. F(x) = (x - N)/(x + N). Find the equation of a tangent line at the point x, = 1. Apply the quotient rule o
f(x)/ g(x) 2. F(x) = (x - N)/(x + N). Find the equation of a tangent line at the point x, = 1. Apply the quotient rule of differentiation for calculating the derivative of F'(x). Solution. A graph of the rational function F(x) (hyperbola) consists of two branches; it has a vertical asymptote at the point x = -N at which the denominator in F(x) becomes zero. f'(x)g(x) - g'(x)f(x) d F'(x) = ---- [f(x) g(x)] dx Ig(x)]
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