5. Graphical Applications of Derivatives

Find the critical points of the given function.

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

Find the critical points of the given function.

$f(t)=\(\frac{6t}{t^2+1}\)$

Find the critical points of the given function.

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

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]$