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Using the Rolle's theorem, determine the...

Using the Rolle's theorem, determine the values of x at which the tangent is parallel to the x-axis for the following functions :
(i) `f(x)=x^(2)-x, x in [0,1]`
(ii) `f(x)=(x^(2)-2x)/(x+2), x in [-1, 6]`
(iii) `f(x)=sqrtx-(x)/(3), x in [0,9]`

Text Solution

Verified by Experts

The correct Answer is:
`x=(9)/(4)`
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