Question

Find dy/dx for tan(x+y)=y.

Answer 1

@oldrin.bataku CAN U HELP?

Answer 2

you might indicate what you expect in terms of a steer. you can just do it implicitly. ie \( \dfrac{d}{dx} tan(x+y) = \dfrac{d}{dx} y\) bearing in ming [presumably] that \(y = y(x)\)

or you can make a substitution so you are not looking at a mixed argument, eg let \(u = x + y, \qquad u' = 1 + y'\)

or maybe you're happy looking at partials so \(f(x,y) = tan(x+y)-y\) and \(\dfrac{dy}{dx} = -\dfrac{f_x}{f_y}\) which can make things easy.