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anonymous
 one year ago
Given f '(x) = (5 − x)(8 − x), determine the intervals on which f(x) is increasing or decreasing
anonymous
 one year ago
Given f '(x) = (5 − x)(8 − x), determine the intervals on which f(x) is increasing or decreasing

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Find your critical points and then test values to the let and right of them to see where your function is increasing and decreasing as it approaches the critical points.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f \prime(x)=0 ~gives~x=5,8\] \[f \prime \prime \left( x \right)=\left( 5x \right)*11\left( x8 \right)=5xx+8=132x\] at x=5 \[f \prime \prime \left( x \right)=1310=3>0\] so at x=5,there is minima at x=8 \[f \prime \prime \left( x \right)=1316=3<0\] so there is maxima at x=8 dw:1441336369747:dw
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