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  4. The function f(x) = x2 - 2x is strict decreasing in the interval

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Q. The function $f(x) = x^2 - 2x$ is strict decreasing in the interval

Application of Derivatives

Solution:

$f'(x) = 2x - 2 = 2(x - 1) < 0$ if $x < 1$
i.e. $x \in (-\infty, 1)$. Hence $f$ is strictly decreasing in $(-\infty , 1]$.