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Show that the function f(x) = tan x – 4x...

Show that the function` f(x) = tan x – 4x` is strictly decreasing on ` [-π/3, π/3] `

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To show that the function \( f(x) = \tan x - 4x \) is strictly decreasing on the interval \( [-\frac{\pi}{3}, \frac{\pi}{3}] \), we need to analyze the derivative of the function. ### Step 1: Find the derivative of the function The first step is to differentiate the function \( f(x) \). \[ f'(x) = \frac{d}{dx}(\tan x - 4x) = \sec^2 x - 4 \] ...
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