Statement I: The minimum distance of the fixed point

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Statement I: The minimum distance of the fixed point (0,y0)(0,y_0), where 0≤y0≤120\le y_0\le\frac12, from the curve y=x2y=x^2 is y0y_0. Statement II: A maximum or minimum of a function is always a root of the equation f′(x)=0f'(x)=0.

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