Question

Absolute max/min for f(x)=ln(x+2)+1/x
1 14 years ago

Answer 1

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Answer 2

f'(x) = 1/x+2 - 1/x^2 = 0
1/x+2 = 1/x^2
x+2 = x^2
x^2 -x -2 = 0
(x-2)(x+1) = 0
x = 2, -1
-1 outside domain so disregard
look at f' value for x less than 2 to determine concavity
f'(1) = 1/3 - 1 = -2/3
slope neg so concave up gives min
min f(x) is x=2

Answer 3

wow thank you

Answer 4

your welcome
actual answer is f(2), just plug in 2 for x

Answer 5

Okay thanks agian