Find an Equation of the Tangent Line to the Graph $f ( x ) = 2 \sqrt { x }$

question 97

Multiple Choice

Find an equation of the tangent line to the graph of the function $f ( x ) = 2 \sqrt { x }$ at the point that has x-coordinate $x = 36$ . [Hint: use point-slope formula to find the equation of the tangent line.]

• A) \(y = - \frac { x } { 6 } - 6\)
• B) \(y = \frac { x } { 6 } + 6\)
• C) \(y = 6 x + 6\)
• D) \(y = 6 x + \frac { 1 } { 6 }\)
• E) \(y = \frac { x } { 36 } + 6\)

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