Posted by pipi on Thursday, November 6, 2008 at 8:27pm.
Find the (a) the local extrema, (b) the intervals on which the function is increasing, (c) the interval on which the function is decreasing
h(x)=2/x

high school calculas  Reiny, Thursday, November 6, 2008 at 8:59pm
h'(x) = 2/x^2
a function is increasing when its first derivative is positive, and
a function is decreasing when its first derivative is negative.
now look at our derivative, notice the bottom is a square of x, so no matter what you put in, the result will be positive, and this is divided into 2.
so what result will we get??
also notice that both the original and the derivative are undefined for x=0