Consider the two functions: $f(x)=x^{1 / 3}$ and $g(x)=x^{4 / 3}$ near $x=0 .$ Using $h=-0.1,-.0 .01,-0.001$ and $-0.0001,(\text { as } h \text { approaches } 0$ from the left), and $h=0.1, .0 .01,0.001$ and 0.0001 (as $h$ approaches 0 from the right). Find the slope of the secant lines passing through $P(0,0)$ and $Q(h, f h)$ ). Does $m_{\tan }(x)$ exist at (0,0)$?$ Why not? (b) Now repeat the process for $g(x) .$ What is the difference in the behavior at $P(0,0)$ for the two functions?