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Free printable worksheets calculus finding extrema maximums and minimums. A function f defined and continuous on the interval 22 x 5 has critical points or critical numbers only at x 5 21 and x 5 2. We have already looked at quadratic functions and you have used your calculator to find the extrema. The absolute global maximum the absolute global minimum a local relative maximum a local relative minimum 1. Y f2g0b1g3 k jk audtpay seogfgtaw 5a mrpe4 3lzl lcv 0 w ja 4lxl 8 drviig 3htusw grle us fe 3r svveyd t r e um2ahd 8e4 iw vi6t jh 6 aiwnof ciunui htnee mc3aklgcquxlgu fsn w worksheet by kuta software llc. Maximums and minimums 3 cool math has free online cool math lessons cool math games and fun math activities. I am passionate about travelling and currently live and work in paris. Find minimum and maximum for a give number set. Calculus worksheets calculus derivative maximum and minimum quadratic word problems worksheet box and whisker plot worksheets box and whisker plot worksheets and use a graph to determine where a function is increasing decreasing.

We need to distinguish between absolute extrema and relative extrema and how to locate them. Don t forget though that not all critical points are necessarily local extrema the first step in finding a function s local extrema is to find its critical numbers. The function f has values as given in the table below. 10 give an example function f x where f 0 0 and there is a relative maximum at x 0. Really clear math lessons pre algebra algebra precalculus cool math games online graphing calculators geometry art fractals polyhedra parents and teachers areas too. 9 r 6m ta nd sei twki0trhy 8i8n bfriin diot wes acsaulpc nu hlzu hsb k worksheet by kuta software llc. 2 u u210 r143j hk eu ht4as nswo1f2t vwlagr7ee elyl vce b s ea jl 4lk fr uiogghut5s f srgeis iezrhvpezdp. Of use a graph to determine where a function is increasing decreasing solved mcsi 414 calculus 1 worksheet 9 x 1.

X f x 22 1 21 2 2 0 5 2.

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