James L. answered • 11/02/19

Tutoring for AP and IB Physics and SAT Math

In words first find the derivative of f(x), plug in x = 1 to get the slope and then use that slope to find the equation of the tangent line.

Derivative of f (x) is 4 (x ^2 + x - 3 ) ^3 (2x + 1)

Plug in x = 1 to get slope m = - 12

To get equation of tangent line set slope of - 12 = ( y - 1) / ( x - 1)

Rearrange to get y = - 12x + 13