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1. (03.06 MC) Which of the following properly represents the derivative of h(x) = (2X-3)3? (1 point) X O 2 2x - (2x -3) 2
1. (03.06 MC) Which of the following properly represents the derivative of h(x) = (2X-3)3? (1 point) X O 2 2x - (2x -3) 2 x 2 O 3(2x -3 2 2x - (2X -3) x 2 O 3/ 2X - 3, 2 ( 3 ) O 2 2x -3 2x - ( 2X - 3) , 2 ( 2 ) X x 2 2. (03.06 MC) Which of the following requires the use of the Chain Rule to differentiate? (1 point) Of( x ) = x 3 - (x2 - 2x ) 2 O f(x) = cos(x) + 2 Of(x ) = x3 - x2 - ( 2x + 1) O f(x) = 2(cosx + 2)3. (03.06 MC) Determine a process for finding g' if g(x) = _ (1 point) f ( x ) O f'(2x) [f'(x )12 Of ( x )f' (2x) -f(2x)f' (x) if (x)12 Of' (2x) - 2 [f' (x )12 Of( x)f' (2x) . 2-f(2x)f' (x) [f(x)] 4. (03.06 MC) Find the correct representation for the slope of the tangent line to the curve cosxy + 3sin2x + 2y. (1 point) O ( x dy + y)+6cosx+2 O ry dy + y ) +6cosx + 2 dy sin ( Xy O -sinxy(x > + y)+6sinxcosx+2.dy O -sin(xy)(x->)+6sinx+2 5. (03.06 MC) Select the correct order in which differentiation should take place for g(x) = /x sin2 x. (1 point) O Power Rule, Product Rule, Chain Rule O Power Rule, Chain Rule, Product Rule O Product Rule, Chain Rule, Power Rule Chain Rule, Product Rule, Power Rule
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