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4-92.

Find the equation of the line tangent to f(x) = x3 + 12x2 + 36x − 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 = −12x − 70
But your answer will probably be in point-slope form.