An Expert answer needed without links pls..as it's really difficult to access the links on mobiles.
Find dy/ dx
If tan ( x^2 - y^2 / x^2 + y^2 ) = a

We are giventanx2-y2x2+y2=ax2-y2x2+y2=tan-1ax2-y2= tan-1a×x2+y2Differentiating both sides with respect to x, we get2x-2ydydx=tan-1a2x+2ydydxx-ydydx=tan-1a x+ydydx1-tan-1a x=1+tan-1a y dydxdydx=1-tan-1a1+tan-1a×xy =xy tanπ/4-a

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