f0,6()8,9()f6,8()f2,4()7,9()f0,2()4,7()2,3()4,4.5()7,4()f1,±3.8()5,±6.5()f0,1()±3.8,5()±6.5,8()8,9()f0,3()8,9()f3,5()5,8()3,±1.8()xx,f(x)()f/(x)>01,5()ff/(x)<00,1()5,6()ff/(x)=0x=1f/fx=1f/(x)=0x=5f/fx=5f/(x)>0f0,1()3,5()f/(x)<0f1,3()5,6()f/(x)=0x=1x=5f/fx=1x=5f/(x)=0x=3f/fx=3x=1f/ /(x)fx=7f/ /(x)ff1. (a) is increasing on and .(b) is decreasing on .(c) is concave upward on and .(d) is concave downward on and .(e) The points of inflection are , and (where the concavity changes).2. (a) is increasing on and .(b) is decreasing on , , , and .(c) is concave upward on and .(d) is concave downward on and .(e) The point of inflection is (where the concavity changes).3. (a) Use the Increasing/Decreasing (I/D) Test.(b) Use the Concavity Test.(c) At any value of where the concavity changes, we have an inflection point at .4. (a) See the First Derivative Test.(b) See the Second Derivative Test and the note that precedes Example 7.5. (a) Since on , is increasing on this interval. Since on and , is decreasing on these intervals.(b) Since at and changes from negative to positive there, changes from decreasingto increasing and has a local minimum at
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