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Question

If y=tan1(axb)(bx+a) then find dydx.

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Solution

y=tan1(axbbx+a)
differentiating the above,
dydx=11+(axbbx+a)2.(bx+a)a(axb)b(bx+a)2
dydx=(bx+a)2(bx+a)2+(axb)2×a2+b2(bx+a)2

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