Find the absolute extrema for the function on the given internal

Question

asked Nov 5, 2023 63.0k views

1 Answer

Techie · Answer 1 · 2023-11-11T08:41:27+0000

Given the function;

The first derivative of the function is;

$f^(\prime)(x)=-6x-24$

At critical points;

$\begin{gathered} -6x-24=0 \\ -6x=24 \\ x=(24)/(-6) \\ x=-4 \end{gathered}$

Thus, the f(x) at x=-4 is;

$\begin{gathered} f(-4)=-3(-4)^2-24(-4)+3 \\ f(-4)=-48+96+3 \\ f(-4)=51 \end{gathered}$

Thus, the absolute maxima on the given point is;

The absolute minima on the given points is;