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A: Given:
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- Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or local maximum when x=8Find the open intervals where the function is increasing and the intervals where the function is decreasing. Determine the relative extrema of the function. x3 -5x2 +8xFind the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x
- Using the second derivative test, find the local extrema of the function f(x)=x3−9x2+24x−7.Find the domain of the function f(x)=−2x^2−4x+1 Use interval notation to express your answer. Domain:a) use rolled theorem to show that f(x) =6x^3+8x-3 has exactly one real zero b) The graph of the function f(x) = -x^3-12x^2-2 has one relative maximum and one relative minimum point . Find these points using the first derivative test
- Find the open intervals where the function is increasing and the intervals where the function is decreasing. Determine the relative extrena of the function. f(x)= x^3 - 5x^2 +8xFind the absolute extrema of the function on the closed interval. Use a graphing utility to verify your results. f(x) = x3 − 12x, [0, 5]lim x---2, x2 - 4/x - 2