Suppose f (x) 3x4 8x 3 6x 1 From calculus, the second derivative of f is given by f (x) 36x 2 48x The function f is concave up where f (x) 0 and concave down where f (x) 0 Determine where f is concave up and where f is concave down

Question: Suppose f (x) = 3x4 8x 3 + 6x + 1. From calculus, the second derivative of f is given by f (x) =

Suppose f (x) = 3x4 − 8x³ + 6x + 1. From calculus, the second derivative of f is given by f (x) = 36x² − 48x. The function f is concave up where f (x) > 0 and concave down where f (x) < 0. Determine where f is concave up and where f is concave down.

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