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find the interval(s) where the following functions are increasing and decreasing.

f(x)= x/4 + 4/x

1 answer

f ' (x) = 1/4 - 4/x^2
= 0 for a turning point (max/min)

1/4 = 4/x^2
x^2 = 16
x = ± 4

make a rough sketch to see that

the curve is increasing for x<-4 OR x>4
the curve is decreasing for -4 < x< 4 , x±0
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