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The function f(x)=(2x^2-1)/x^4, x gt 0de...

The function `f(x)=(2x^2-1)/x^4, x gt 0`decreases in the interval

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To determine the interval in which the function \( f(x) = \frac{2x^2 - 1}{x^4} \) decreases for \( x > 0 \), we will follow these steps: ### Step 1: Differentiate the function We start by differentiating \( f(x) \). We can rewrite the function as: \[ f(x) = 2x^{-2} - x^{-4} \] Now, we differentiate \( f(x) \): ...
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