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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

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  1. Jhannybean
    • one year ago
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    This might help.

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  2. Jhannybean
    • one year ago
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    Find 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.

  3. anonymous
    • one year ago
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    \[f \prime(x)=0 ~gives~x=5,8\] \[f \prime \prime \left( x \right)=\left( 5-x \right)*1-1\left( x-8 \right)=5-x-x+8=13-2x\] at x=5 \[f \prime \prime \left( x \right)=13-10=3>0\] so at x=5,there is minima at x=8 \[f \prime \prime \left( x \right)=13-16=-3<0\] so there is maxima at x=8 |dw:1441336369747:dw|

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