Question
Asked Oct 27, 2019

For the given function, find all values of c over the interval (1/2,20) stipulated by Rolle's Theorem such that f′(c)=0.

 

f(x)=x+10x^-1

 

Submit multiple values as a comma-separated list. Do not round any value.

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Expert Answer

Step 1

To solve for all the points c in the given interval satisfying f'(c)=0

Step 2

Statement of Rolle's theorem. Note that all the conditions are satisfied for f(x) over [0.5,20], as the only disco...

Rolle's Theorem
If fx) is continuous on [a.b]
and f(x) is differentiable on (a.b),
and f(a) f(b)
then there exists c in [a,b] such that
f'(c)= 0
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Rolle's Theorem If fx) is continuous on [a.b] and f(x) is differentiable on (a.b), and f(a) f(b) then there exists c in [a,b] such that f'(c)= 0

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