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A differentiable function f has one critical number at x = 5. Identify the type of relative extrema of f at the critical number if
- A differentiable function f has one critical number at x = 5. Identify the type of relative extrema of f at the critical number if f ' (4) = -2.5 and f ' (6) = 3. (HINT: First Derivative Test)
- Let S represent weekly sales of a product. Determine the sign (+ or -) of S' and S'' for each of the following statements: a. The rate of change of sales is constant. b. Sales are increasing, but at a slower rate. c. Sales are declining, but at a slower rate.
Find each derivative. For part b, it is implied that y is a function of x.
a. d/dx (x^3)
b. d/dx(y^3)
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