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high school calculas

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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 - ,

    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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