Question

What is the slope of the function 2 / x + 2 at the point (-1,2)

Answer 1

Answer:

slope = - 2

Step-by-step explanation:

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

f(x) = $\frac{2}{x+2}$ = 2$(x+2)^{-1}$

differentiate using the chain rule

f'(x) = -2$(x+2)^{-2}$ = -  $\frac{2}{(x+2)^2}$

f'(- 1) = $\frac{-2}{1}$ = - 2