IwOdd   1Courier NewSymbolxyx1Courier New1Courier NewTimes New RomanTimes New Romanxyx1Courier New1Courier New1Courier New1Courier NewPl(PPl(PPl(PPl(P y d< xnp ?0 N_??04'/2?26t?@r4SL?5????@@@@@@033333??@^ߛOw????_ :@[[@@?@ @@@E?D[?@@2 2??@$$$04'/2?26t????????܍n)܍n)@?xx|yz{|}~$D|g(x) y = g(x)O0O2??@$$$?n-.?????????яҏӏԏՏ֏׏Xjag(a)pi/4(x,y) = (a,g(a))2 2??@$$$04'/2?26t????????@?30<8g(a)+(g(a+h)-g(a))/h*(x-a)y = g(a)+(g(a+h)-g(a))/h*(x-a)2??@$$$?#ħ7?????????؏ُڏۏ܏ޏߏa+hg(a+h)pi/4(x,y) = (a+h,g(a+h))2??@$$$`fffff?y@D?????????ċȌv"a-hg(a-h)pi/4(x,y) = (a-h,g(a-h))2 2??@$$$04'/2?26t????????@?  |TX(l$$g(a-h)+(g(a+h)-g(a-h))/(2h)*(x-a+h)(y = g(a-h)+(g(a+h)-g(a-h))/(2h)*(x-a+h)2 2??@$$$04'/2?26t????????@?̍Ўԏܑؐ䓓@.``g(a)+dg(a)*(x-a)y = g(a)+dg(a)*(x-a)xyz?JXT@4333333@T5+?Puuor,@@@@@@@@?@@@@@@@@@@@@@@@@@@   SQRT(X)-8X-2G 1/(2*SQRT(X))DGIllustration of the Derivative as the Slope of Tangent Line8hs3E&?@濙?fGi@Times New Roman Illustration of the Central Difference Formulationent Linem۶mێQQ?@濙?0N@Times New Roman y = g(x)Hg"܍n)@@g@%0O9653179X)-2)d(x,y) = (a,g(a))Hg"܍n)@ Qք@y = g(a)+(g(a+h)-g(a))/h*(x-a)@@@ Hg"콟1͠@H(.@W0w@@@@@@@@Ԙ(x,y) = (a+h,g(a+h))0)0Hg"@Woa@0)0)0(x,y) = (a-h,g(a-h))Hg"@hqsW@Dy = g(a-h)+(g(a+h)-g(a-h))/(2h)*(x-a+h)/Hg"@@y = g(a)+dg(a)*(x-a)h))/(2h)*(x-a)+h)\@ Hg"@