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Find the Slope-Intercept Form of the Equation of the Line y=arctan(7x)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(7x) y = \arctan ( 7 x ) when x=37x = \frac { \sqrt { 3 } } { 7 }


A) y=7x4+π6+34y = \frac { 7 x } { 4 } + \frac { \pi } { 6 } + \frac { \sqrt { 3 } } { 4 }
B) y=7x4+π334y = \frac { 7 x } { 4 } + \frac { \pi } { 3 } - \frac { \sqrt { 3 } } { 4 }
C) y=7x6+π6+12y = \frac { 7 x } { 6 } + \frac { \pi } { 6 } + \frac { 1 } { 2 }
D) y=7x4+π634y = \frac { 7 x } { 4 } + \frac { \pi } { 6 } - \frac { \sqrt { 3 } } { 4 }
E) y=7x6+π612y = \frac { 7 x } { 6 } + \frac { \pi } { 6 } - \frac { 1 } { 2 }

Correct Answer:

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