If f(x) = 2x / (1 + x^2) find f'(5). f'(5) = Use this to find the equation of the tangent line to the curve y = 2x / (1 + x^2) at the point (5, 5/13). The equation of this tangent line can be written in the form y = mx + b. The equation of the tangent line is y =
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Step 1: Find f'(5)** Given that 2x f(x) = 1+x^2, we have f'(x) = (2 + 2x^2 - 4x^2) / (1 + x^2)^2 Plugging in x = 5, we get f'(5) = (2 - 2(25)) / (1 + 25)^2 f'(5) = -48 / 26^2 ** Show more…
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