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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem Find d d x ( x 1 − cos x ) \dfrac{d}{dx}\left(\dfrac{x}{1-\cos x}\right) d x d ( 1 − cos x x ) x ≠ 0 x\neq0 x = 0 1 − cos x + x sin x 1 − cos x \dfrac{1-\cos x+ x\sin x}{1-\cos x} 1 − cos x 1 − cos x + x sin x 1 − cos x + x sin x ( 1 − cos x ) 2 \dfrac{1-\cos x+ x\sin x}{(1-\cos x)^2} ( 1 − cos x ) 2 1 − cos x + x sin x 1 − cos x − x sin x ( 1 − cos x ) 2 \dfrac{1-\cos x- x\sin x}{(1-\cos x)^2} ( 1 − cos x ) 2 1 − cos x − x sin x 1 + x sin x 1 − cos x \dfrac{1+ x\sin x}{1-\cos x} 1 − cos x 1 + x sin x Browse the problem library