Find the equation of the tangent line to the graph of y = - $\frac { 3 } { 5 x + 2 }$ at x = 3.
A) y = $\frac { 15 } { ( 5 x - 2 ) ^ { 2 } }$
B) y = $\frac { 15 } { 169 }$ (x - 3)
C) y - 3 = 15(5x - 2 $) ^ { - 2 }$
D) y = $\frac { 15 } { 289 }$ (x - 3) - $\frac { 3 } { 17 }$

Question

Quizplus · Accepted Answer

To find the tangent line, first find the derivative of y = -3/(5x + 2) and evaluate it at x = 3 to get the slope. Then use the point-slope form of the line with the point (3, -3/17) to find the equation.

Find the Equation of the Tangent Line to the Graph 35x+2\frac { 3 } { 5 x + 2 }5x+23​

Find the Equation of the Tangent Line to the Graph $\frac { 3 } { 5 x + 2 }$