find the slope and an equation of the tangent line to the graph of the function f at the specified point f(x) =( x+5)/(x^2+5) (1,1)
Added by Shannon S.
Step 1
Step 1:** Find the derivative of the function \(f(x) = \frac{x+5}{x^2+5}\): \[f'(x) = \frac{(x^2+5)(1) - (x+5)(2x)}{(x^2+5)^2}\] \[f'(x) = \frac{x^2 + 5 - 2x^2 - 10x}{(x^2+5)^2}\] \[f'(x) = \frac{-x^2 - 10x + 5}{(x^2+5)^2}\] ** Show more…
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