3.21: Small change for cot x

0606/23/M/J/21 — Question 4 · 4 marks

Variables xx and yy are such that y=cosxsinxy = \dfrac{\cos x}{\sin x}. Using differentiation, find the approximate change in yy as xx increases from π4-\dfrac{\pi}{4} to π4+h-\dfrac{\pi}{4} + h, where hh is small.
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