Homework Help: high school calculas

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

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