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A curve is given by $y = \dfrac{\sin x}{1 + \cos x}$, where $-\pi < x < \pi$. Show that the gradient of the curve is positive for every $x$ in the stated interval.
Mathematics 9709 · AS & A Level · Differentiation
A curve is given by $y = \dfrac{\sin x}{1 + \cos x}$, where $-\pi < x < \pi$. Show that the gradient of the curve is positive for every $x$ in the stated interval.