Question: Consider the following function: () = 3 2 x + 2 9 x 2 5 x 1 0 . a) Determine all critical points of

Consider the following function: () = 32x+29x25x10.

a) Determine all critical points of the function.

b) Use the First Derivative test and sign diagram to identify local maxima/minima. Determine the intervals where f(x) is increasing/decreasing.

c) Use the Second Derivative Test to identify inflection points (if there are any). Determine the intervals where f(x) is concave up/concave down.

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