5. Graphical Applications of Derivatives

Find the critical points of the given function.

$g(x)=\(\frac\)13x^3-\(\frac\)12x^2-12x$

Find the global maximum and minimum values of the function on the given interval. State as ordered pairs.

$y=x+\(\frac{2}{x}\);[0.25,3]$

Which of the following points is a location where the function $f\left(x\right)=\frac{1}{x-2}$ is discontinuous?

Find the global maximum and minimum values of the function on the given interval. State as ordered pairs.

$y=8+27x-x^3;[0,4]$

Find the critical points of the given function.

$f(x)=\(\sqrt{2-x^2}\)$