calc 1

Find the number c that satisfies the conclusion of the Mean Value Theorem.

f(x)=x/(x+2)

[1,4]

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1. f'(c)=(f(4)-f(1))/(4-1)
f(4)=4/6=2/3
f(1)=1/3
f'(c)=1/9
f'(x)=(x+2-x)/(x+2)^2
2/(c+2)^2=1/9
(c+2)^2=18
c+2=3*sqrt(2)

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posted by Mgraph

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