Let $g(x) = x^3 - 3x^2 -9x +5$. Find the two values of $x$ at which the tangent to the grap

Question

Let $g(x) = x^3 - 3x^2 -9x +5$. Find the two values of $x$ at which the tangent to the graph of $g$ is horizontal.[8] For each of these values, determine whether it is a maximum or a minimum.[6]

Accepted Answer

(a) $x=-1,3$ (b) maximum at $x=-1$, minimum at $x=3$

Kinematics

Kinematics

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