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Show the implicit slope of a trigonometric curve

A curve CC has equation y2=2sin⁡x+2xyy^2=2\sin x+2xy, where 0≤x≤2π0\leq x\leq2\pi.

Show that dydx=cos⁡x+yy−x\dfrac{dy}{dx}=\dfrac{\cos x+y}{y-x}. marks

[2022/DHS/I/5(a)]

CJC · Review Problems · Question 13

Identify the outer function and its input; simplify with logarithm laws where the real domain permits it.

Read the worked solution