Find an Equation of the Tangent Line to the Graph $f ( x ) = x + \frac { 1 } { x }$

question 110

Multiple Choice

Find an equation of the tangent line to the graph of the function $f ( x ) = x + \frac { 1 } { x }$ at the point that has x-coordinate $x = \frac { 1 } { 4 }$ .

• A) \(y = - 15 x + 8\)
• B) \(y = - 15 x - 120\)
• C) \(y = 8 x - 15\)
• D) \(y = x - 15\)
• E) \(y = 15 x + 8\)

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