AP Practice: Derivatives For Part I, pick the best answer from the ...

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6) If f x = x sin !! (x), then f′ x = a)!!!! ! b) sin !! (x) − x sin !! (x) !c) + !!! ! sin!! (x) !d) − !!! ! sin!! (x) !e) !!! ! __________________________________________________________________ 7) If y = x ! , then !"!" = a) x ∙ x !!! b) x ! ln x c) x ! 1 + ln x d) x ln(x) e) 1 + ln x __________________________________________________________________ 8) If y − x ! y ! = 6, then !"= !"!!!a)!!!!! ! !b) !!!!!!!! ! !!!! !c)d)!! ! !!!!!!"e) !!!!!!!!!! ! !__________________________________________________________________ 9) If x ! + y ! = 6, then !! !!! ! = a) − ! ! ! b) – !! !! !c)d)! !! ! ! ! ! !e) !!!! ! __________________________________________________________________ 10) lim !→!!" ! !!" !!!!= a) ! !!b)c)d) ! !!" !!!" !e) ! ! − ! !
11) If f x = e !! , then f !! ! x = !a)b)c)!!! ! !! ! !! !!d) − !! !! e) ! !For Part II, pick the best answer from the choices. You are permitted to use a calculator. Use the following table to answer items 1 through 6. 1) If H x = F x ! , then H ! 3 = x F(x) F′(x) F′′(x) G(x) G′(x) G′′(x) a) 0 3 5 4 −3 2 7 −2 b) 10 5 8 6 10 −6 −4 11 c) 25 d) 40 e) 100 __________________________________________________________________ 2) If H x = ! !, then ! ! H! 3 = a) − !"!b) − ! !c) 0 d) ! !e) !"!__________________________________________________________________ 3) If H x = F(x) ∙ G(x), then H !! 3 = a) −31 b) −16 c) 6 d) 40 e) 43 __________________________________________________________________ 4) If H x = G F x , then H ! 3 = a) −16 b) −6 c) −4 d) 28 e) 43 __________________________________________________________________ 5) If H x = G F x , then H !! 3 = a) −33 b) 0 c) 6 d) 56 e) 188
Page 4 and 5: 6) If H x = ln F x , then H ! 3

AP Practice: Derivatives For Part I, pick the best answer from the ...

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