Find all critical points for .
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f(x)=(x+5)^2/5
critical points
(b) Find and classify all critical points of f. (Classify means determine if they are local max/min or neither.) No f'DNE crit pts to crit pts are x=0,3 By 1st Devil. Test& : X= neither *=3 loc.max The local minima are at x = The local maxima are at x =_- are neither local maxima, nor local The critical point(s) r=__ minima.
6. (14 pts) EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. The graph of f'(derivative of f) on the interval [-6, 7] is shown in the figure. y f(x) y = f'(x) -6 -5 -4 -3 2 L - 2 3 4 5 7 Use the given graph of f' to answer the following questions about f: (a) (2 pts) on what interval (or intervals) is f decreasing? (b) (3 pts) Find the critical points of f. (c) (2 pts) which critical points (or point) correspond to local maxima ? (d) (2 pts) which critical points (or point) correspond to neither local maxima nor local minima ? (e) (2 pts) on what interval (or intervals) is f concave up? (f) (3 pts) At what point (or points) does f have an inflection point ?