y − 11 = − 14 ( x + 2 ) Explanation: f ( x ) = 3 x 2 − 2 x − 5
f ' ( x ) = 6 x − 2 f ( − 2 ) = 11
f ' ( − 2 ) = − 14
Thus, the tangent line will intersect f at ( − 2 , 11 ) and will have a slope of − 14 . Write the equation in point slope form: y − 11 = − 14 ( x + 2 )