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# Study Guide on Applications of Derivaties, and Curve Skectching

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School
University of Toronto Scarborough
Department
Mathematics
Course
MATA32H3
Professor
Semester
Fall

Description
NewtonsMethodandHigherOrderDerivatives OctoberH18H10 1:36PM NewtonsMethod -; TheRecursionFormula: L * 6 #; Therefore:theNewtonsMethodFormula: * 6 ?#; 6L 6 ?# . * 6 ?#; Example:ComputeSquarerootof2. \$ * 6 L 6 . J * 6 L J6 6#L J \$ 6\$L J . &L IM \$ % # #; 6%L IM . % L .\$ #\$L #\$ L ILINNO HigherOrderDerivatives: 6 .K6 \$.N6 .N .H .H * 6 L 6 % : ; \$ * 6 L K6 *:6 L N6 * :6 L N *:&;:6 L H L K6 \$ . .L N6 L N L H . Example:Given:6\$- 7 L I,Find . Step1:find1stderivative J6 - J7 7 L H L . Step2:Takethederivativeofthedydxfoundinstep1. ?:; .L . . Step3:SubstituteStep1sdydxtostep2: . . > . . L . L . > L . # . . www.notesolution.com
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