QuestionFind the $x$-coordinates where the tangent of $f(x)=\frac{1}{3} x^{3}-5 x^{2}+1$ has slope $m=-16$.

Studdy Solution
olve for $x$.
$$x =8 \quad \text{or} \quad x =2$$The x-coordinates of the points on the curve where the tangent line has slope -16 are $x =8$ and $x =2$.