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(2x)x,y=\dfrac{\sin^{2}(2x)}{x}, compute dydx.\dfrac{dy}{dx}. (a) 2xsin⁡(4x)+sin⁡2(2x)x2\dfrac{2x\sin(4x)+\sin^{2}(2x)}{x^{2}} (b) 2sin⁡(4x)−sin⁡2(2x)x\dfrac{2\sin(4x)-\sin^{2}(2x)}{x} (c) 2xsin⁡(4x)−sin⁡2(2x)x2\dfrac{2x\sin(4x)-\sin^{2}(2x)}{x^{2}} (d) xsin⁡(4x)−sin⁡2(2x)x2\dfrac{x\sin(4x)-\sin^{2}(2x)}{x^{2}}

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