### Home > CALC > Chapter 4 > Lesson 4.2.4 > Problem 4-92

4-92.

Find the equation of the line tangent to *f*(*x*) =* x*^{3} + 12*x*^{2} + 36*x *− 6 at its point of inflection. Homework Help ✎

Find the inflection point of a cubic function can be found by setting *f* ''(*x*) = 0 or *f* ''(*x*) = DNE. What is the slope at that point?

What is the *y*-value at that point?

(show work)*y* = −12*x* − 70

But your answer will probably be in point-slope form.