1001_3.1_Lab_10

1001_3.1_Lab_10 - x 2 = g" f f" g g 2 1 Find dy dx or" y by implicit differentiation a xy 2 = tan y b 5 x 2 = csc x 2 y 2 c cos 2 y xy

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CALCULUS 1 LAB 10 NAME: ___________________PARTNER: _________________ 3.1 Implicit Differentiation GSA:______________________Lab Time:_________________ and General Differentiation Generalized Derivative Formulas: d dx [ sin( u ) ]= cos( u ) du dx d dx [ cos( u ) ]= " sin( u ) du dx d dx [ tan( u ) ]= sec 2 ( u ) du dx d dx [ cot( u ) ]= " csc 2 ( u ) du dx d dx [ sec( u ) ]= sec( u )tan( u ) du dx d dx [ csc( u ) ]= " csc( u )cot( u ) du dx Power Rule: d dx [( u ( x )) n ] = d dx [ u n ] = nu n " 1 du dx Chain Rule: d dx [ y ( u )] = dy dx = dy du du dx d dx ( uv ) = u dv dx + v du dx = ( uv " ) = u " v + v " u d dx [ f ( x ) g ( x ) ] = g ( x ) d dx [ f ( x )] " f ( x ) d dx [ g ( x )] [ g
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Unformatted text preview: ( x )] 2 = g " f # f " g g 2 1. Find dy dx or " y by implicit differentiation: a. xy 2 = tan( y ) b. 5 x 2 = csc( x 2 y 2 ) c. cos 2 ( y + xy ) = x 2. Find 2 2 dx y d or " " y by implicit differentiation: a. 8 3 2 2 2 = ! x y b. x 3 y 2 = 8 3. Find dy dx for the following: a. y = 3 x " sin 2 (4 x ) b. y = cot 3 x x + 1 " # $ % & '...
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This note was uploaded on 02/21/2012 for the course MATH 1001 taught by Professor Dr.shaw during the Spring '11 term at FIT.

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