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Just the yellow part, please 10. Use the second derivative test to find the local maximum and minimum values of each function. a) f(x) =x'-6x2

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Just the yellow part, please

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10. Use the second derivative test to find the local maximum and minimum values of each function. a) f(x) =x'-6x2 b) f (x) =x -6x2-5 c) f(x) x d) f (x) = - x +1 11. Find the local minimum and maximum values for: a) y=x' b) y =x 6. Second Derivative - compute f"(x) find points where f"(x) = 0or f"(x) DNE -> find points of inflection find intervals of concavity upward/downward check the local extrema using the second derivative test 7. Sketching use broken lines to draw the asymptotes - plot x- and y- intercepts, extrema, and inflection points draw the curve near the asymptotes sketch the curve 12. Sketch the graph of the following polynomial functions. a) f(x) = 2x -3x - 36x b) f (x) =3x3 -5x3 c) f (x) = (x-1)3 d) f(x) =x2 (x+3) e) f (x) = (x2 - 3)(x2 -5) 13. Sketch the graph of the following rational functions. a) f(x) =1 b ) f (x ) = - x x +1 x 2 - 1 x2 + 1 c) f(x) = d) f(x) = - X x 2 - 1 12 + 1

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