Respuesta :

Answer:

slope = - 2

Step-by-step explanation:

the derivative of f(x) at x = - 1 gives the slope

f(x) = [tex]\frac{2}{x+2}[/tex] = 2[tex](x+2)^{-1}[/tex]

differentiate using the chain rule

f'(x) = -2[tex](x+2)^{-2}[/tex] = -  [tex]\frac{2}{(x+2)^2}[/tex]

f'(- 1) = [tex]\frac{-2}{1}[/tex] = - 2



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