Question: Let (x) = x 2 5x 6 and (a) Find the critical points of F and determine whether they are local minima or

Let ƒ(x) = x² − 5x − 6 and = 5 f F(x) = f(t) dt.

(a) Find the critical points of F and determine whether they are local minima or local maxima.
(b) Find the points of inflection of F and determine whether the concavity changes from up to down or from down to up.
(c) Plot y = ƒ(x) and y = F(x) on the same set of axes and confirm your answers to (a) and (b).

= 5 f F(x) = f(t) dt.

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