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Calculate all min and max values for the function f(x)=e^x/x on the interval [1/2,2]

Calculate all min and max values for the function f(x)=e^x/x on the interval [1/2,2]

Math   Precalculus   
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Answer #1

f(x) = on [ , 2 ]

for min or max, = 0

=> - = 0

=> x = 1

= - - + the value at x=1 is e > 0

thus f(x) has minimum value at x= 1

minimum value is f(x=1) = e = 2.718

in the given interval the maximum value will be at x = 2

thus maximum value = f(x=2) = = 3.694

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