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

Identify the open intervals on which the function is increasing or decreasing.

$f(x)=3x^4+8x^3-18x^2+7$