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For (y= ^ 2 (2x) x , ) compute ( dy dx
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem For y = sin 2 ( 2 x ) x , y=\dfrac{\sin^{2}(2x)}{x}, y = x sin 2 ( 2 x ) , compute d y d x . \dfrac{dy}{dx}. d x d y .
(a) 2 x sin ( 4 x ) + sin 2 ( 2 x ) x 2 \dfrac{2x\sin(4x)+\sin^{2}(2x)}{x^{2}} x 2 2 x sin ( 4 x ) + sin 2 ( 2 x )
(b) 2 sin ( 4 x ) − sin 2 ( 2 x ) x \dfrac{2\sin(4x)-\sin^{2}(2x)}{x} x 2 sin ( 4 x ) − sin 2 ( 2 x )
(c) 2 x sin ( 4 x ) − sin 2 ( 2 x ) x 2 \dfrac{2x\sin(4x)-\sin^{2}(2x)}{x^{2}} x 2 2 x sin ( 4 x ) − sin 2 ( 2 x )
(d) x sin ( 4 x ) − sin 2 ( 2 x ) x 2 \dfrac{x\sin(4x)-\sin^{2}(2x)}{x^{2}} x 2 x sin ( 4 x ) − sin 2 ( 2 x )
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