Home > APCALC > Chapter 4 > Lesson 4.2.4 > Problem4-89

4-89.

Write the equation of the line tangent to $f(x)=x^3+12x^2+36x-6$ at its point of inflection.

Find the inflection point of a cubic function can be found by setting $f^{\prime\prime} \left(x\right) = 0$ or $f^{\prime \prime}\left(x\right) = \text{DNE}$. What is the slope at that point?
What is the $y$-value at that point?

(show work)
$y = −12x − 70$