(C) Given function is $f(x) = x^2 - 2x$.To find the interval where the function is decreasing,we find the derivative $f'(x)$.$f'(x) = \frac{d}{dx}(x^2

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(C) Given function is $f(x) = x^2 - 2x$.To find the interval where the function is decreasing,we find the derivative $f'(x)$.$f'(x) = \frac{d}{dx}(x^2 - 2x) = 2x - 2$.For the function to be decreasing,we must have $f'(x) $2x - 2 $2x $x Thus,the function is decreasing for $x < 1$.

Class 12 Mathematics Applications of Derivatives Increasing and Decreasing function

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For which value of $x$ is the function $f(x) = x^2 - 2x$ decreasing?

A
$x > 1$
B
$x > 2$
C
$x < 1$
D
$x < 2$

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Applications of Derivatives

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Increasing and Decreasing function

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For which value of $x$ is the function $f(x) = x^2 - 2x$ decreasing?

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