Question

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

Answer 1

slope = - 2

Explanation:

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

f(x) =
`(2)/(x+2)` = 2
`(x+2)^(-1)`

differentiate using the chain rule

f'(x) = -2
`(x+2)^(-2)` = -
`(2)/((x+2)^2)`

f'(- 1) =
`(-2)/(1)` = - 2