if g(x) = x^(2/3) show that g'(0) does not exist.
if a (can not = 0), find g'(a)
show that y = x^(2/3) has a vertical tangent line at (0,0)
the derivative of a function at the point exists if and only if the limit
exists
just show this limit does not exists if
use the same formula above, but now, can be anything but zero. just leave it as and find the answerif a (can not = 0), find g'(a)
or simply use the power rule to differentiate and plug in
hint: we have a vertical tangent line if the slope is infinite.show that y = x^(2/3) has a vertical tangent line at (0,0)
how does the derivative relate to the slope?