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Please help me with this worksheet, using the chain rule.This is my last question so please help with all if you help.Thanks WHAT DID THE

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Please help me with this worksheet, using the chain rule.This is my last question so please help with all if you help.Thanks

image text in transcribed
WHAT DID THE CALCULUS TEACHER SAY TO HER NERVOUS STUDENTS BEFORE THE QUIZ ON THE CHAIN RULE? Derivatives of Composite Functions If y = f(g(x)) y = (1 - 2x4) then y' = f'(g(x))g'(x) y' = 7(1 - 2x4) 6.(-8x3) y' = -56x3(1 - 2x4)6 Find the derivative y' of each function. 1) y = 4x4 + 12x2 + 9 2) y = x3 + 6x2 + 12x + 8 3) y = 1 - 10x3 + 25x6 4) y = (2x2 + 3)2 5) y = (x + 2)3 6) y = (1 - 5x3)2 7) y = 3(x2 + 2x) 2 8 ) y = (1 + Vx )? 9) y = 1-4 10) y = 2(2x2 + 3)5 11) y = Vx2 - 4 12) y = -5V2-X -1 13) y = X2 - 4 14) y = X2 - 4 15) y = -582-X Derivatives. E. y' = 8x(2x2+3) o. y' = -30x2(1-5x3) R. y' = 12x(X+1)(x+2) s. y' = 3(x+2)2 2x c. y' = 40x(2x2+3)4 L. Y' = ( x2 _ 4) 3/2 M. y' = ( x2 - 4)2 P. y' = VX2 - 4 5 5 1+ Vx s. Y = 212-X U. Y = 3(2- x) 213 v. y'= Vx Y. y = X2 X 3 10 3 1 3 8 4 22

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