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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem Calculate d d x ( x 3 2 x − 1 ) \dfrac{d}{dx}\left(\dfrac{x^{3}}{2x-1}\right) d x d ( 2 x − 1 x 3 ) .
(a) 3 x 2 ( 2 x − 1 ) + 2 x 3 ( 2 x − 1 ) 2 \dfrac{3x^{2}(2x-1)+2x^{3}}{(2x-1)^{2}} ( 2 x − 1 ) 2 3 x 2 ( 2 x − 1 ) + 2 x 3
(b) x 2 ( 4 x − 3 ) ( 2 x − 1 ) 2 \dfrac{x^{2}(4x-3)}{(2x-1)^{2}} ( 2 x − 1 ) 2 x 2 ( 4 x − 3 )
(c) 3 x 2 ( 2 x − 1 ) − 2 x 3 ( 2 x − 1 ) \dfrac{3x^{2}(2x-1)-2x^{3}}{(2x-1)} ( 2 x − 1 ) 3 x 2 ( 2 x − 1 ) − 2 x 3
(d) x 2 ( 5 x − 3 ) ( 2 x − 1 ) 2 \dfrac{x^{2}(5x-3)}{(2x-1)^{2}} ( 2 x − 1 ) 2 x 2 ( 5 x − 3 )
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