Consider the following.
f(x) = sqrt(x + 5), (−1, 2)
(a) Find the slope of the graph of f at the given point.
f(x) = ( x +5)^(1/2)
f ' (x) = ( 1/2) (x + 5)^(-1/2)
Slope at (-1,2) = (1/2) (-1 + 5)^(-1/2) = (1/2) (4)^(-1/2) = (1/2) (1/2) = 1 / 4
