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Circuit'Training'–'CHAIN'Rule''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''Name'_______________________________''Directions:+Begin+in+cell+#1.++Take+the+derivative.++Search+for+your+answer.++Continue+in+this+manner+until+you+complete+the+circuit.++In+some+cases,+you+will+need+to+evaluate+the+derivative,+answer+a+question,+or+perhaps+find+the+second+derivative.++Additional+paper+may+be+necessary!++No+technology+is+needed!++++Answer:+++++2++#+___1___+++++! ! = ! !! + 7 !++,+++!! ! =!?++++
Answer:+++++!!++#+_______++++++! ! = sin !! !, !!! ! =!?++++++
Answer:+++++!!++#+_______+++++! ! = ! tan! 3!! !, !! ! =!?++++++
Answer:+++++−2++#+_______+++++! ! = csc !
! ! , !! ! =!?+
Answer:+++++2! cos !! + 7 ++#+_______+++++! ! = ! !! + 7 !/!!!!,!!!!! ! =!?++
Answer:+++10! !! + 7 !++#+_______+++++! ! = !5 !! + 7!,!!!!!! ! =!?+++++++
Answer:++++!!!!!"#!(!!!)(!"#(!!!))! ++#+_______+++++! ! = cos 3! + ! !, !′ !
! =!?'
Answer:+++++2! sec !! + 7 tan(!! + 7)++#+_______+++++! ! = ! !! + 7! cos ! !!!!!! ! =!?+++++++
Answer:+++++4! sin !! cos !! ++#+_______+++++! ! = 2! !! + 7!,!!!!! ! =!?+
Answer:+++++ !!!!!!+
+#+_______++++! ! = sin !! + 7 !!,!!!!! ! =!?++++++
©+Virge+Cornelius+2017++++virgecornelius.com+
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Answer:+++++3! !! + 7++#+_______++++++++! = ! sin! !! !!!,!!!!!! =!?++++++
Answer:++++−4++#+_______+++! ! = ! (!! − 2)!!!,!!!!! 1 =!?+
Answer:+++++2 cos !! − 4!! sin(!!)++#+_______+++++For+what+value+of+!+does+! = ! !!!!
! +have+++++++++++++++++++++++a+horizontal+tangent?++++++
Answer:+++++− csc !(cot! ! + csc!!)++#+_______++++ℎ ! = sec(!! + 7) !!,!!!ℎ! ! =!?+
Answer:+++++!!! !"#!!!!! !"#!!!!!! !"#!
!!!! !! ++#+_______+The+functions+! ! !and!! ! +are++++++++++++++++++differentiable+with+select+values+in+the++++++++++++++++++table.++Let+ℎ ! = !! ! ! .!++What+is+ℎ! 2 ?++
!+ !(!)+ !′(!)+ !(!)+ !′(!)+R1+ 2+ R4/3+ 5+ 0+2+ ½+ 5+ R1+ 3+5+ 0+ 1.2+ !+ 10+
++++
Answer:+++++12! tan(3!!)sec!(3!!)++#+_______++++The+functions+! ! !and!! ! +are+++++++++++++++++++++differentiable+with+select+values+in+the+++++++++++++++++++++table.++Let+! ! = !(!) ∙ !! ! ! .!++++++++++++++++++++++What+is+!! 5 ?++
!+ !(!)+ !′(!)+ !(!)+ !′(!)+2+ 1/3+ !+ R4+ 6+5+ 2+ 1/4+ 0+ R6+
++++++++
Answer:+++! !! +++
+#+_______+++++! ! = ! !
!!!!! !! !!,!!!!! −1 =!?'
Answer:+++++− !!+
+#+_______+++++! ! = ! !
!"# !!! !!!!! ! =!?+
++++
Answer:+++++21++#+_______+++Given:+! ! = 3!! − 6!, ℎ ! = ! !!++++++++++++++++++++If+! ! = ℎ ! ! , then!!! −1 =!?+
Answer:+++++!!!!!"!!!! ++#+_______+++++! = ! !"#!!"#!! !!!,!!!
!"!" =!?+
++++
©+Virge+Cornelius+2017++++virgecornelius.com+
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