Find the Slope-Intercept Form of the Equation of the Line $y = \arctan ( 7 x )$

question 130

Multiple Choice

Find the slope-intercept form of the equation of the line tangent to the graph of $y = \arctan ( 7 x )$ when $x = \frac { \sqrt { 3 } } { 7 }$

• A) \(y = \frac { 7 x } { 4 } + \frac { \pi } { 6 } + \frac { \sqrt { 3 } } { 4 }\)
• B) \(y = \frac { 7 x } { 4 } + \frac { \pi } { 3 } - \frac { \sqrt { 3 } } { 4 }\)
• C) \(y = \frac { 7 x } { 6 } + \frac { \pi } { 6 } + \frac { 1 } { 2 }\)
• D) \(y = \frac { 7 x } { 4 } + \frac { \pi } { 6 } - \frac { \sqrt { 3 } } { 4 }\)
• E) \(y = \frac { 7 x } { 6 } + \frac { \pi } { 6 } - \frac { 1 } { 2 }\)

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