Question: In Section 1.3, we learned that the maximum (or minimum) value of a quadratic function, f(x)=ax2bxc, occurs at an x-value of x=-b2a. Derive this formula

In Section 1.3, we learned that the maximum (or minimum) value of a quadratic function, f(x)=ax2bxc, occurs at an x-value of x=-b2a. Derive this formula by finding f'(x) and solving for the critical number of f.Number 7 from Section 3.2. Let f(x)=x33x2-9x5.(a) Make a sign diagram for the first derivative.(b) Make a sign diagram for the second derivative.(c) Sketch the graph by hand, showing all relative extreme points and inflection points.

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