1.

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]

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ANSWER :`X=(9)/(4)`


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