Question: 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

 Just the yellow part, please 10. Use the second derivative test

Just the yellow part, please

to find the local maximum and minimum values of each function. a)

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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