Differentiate with respect to x :

tan-1 ( 5x / 1 - 6x2 )

The answer:( 3 / 1 + 9x2 + 2 / 1 + 4x2 )

Let y = tan-15x1-6x2=tan-13x+2x1-6x2= tan-13x+2x1-3x×2x=tan-13x+tan-12xNow differentiating wrt x we get, dydx=11+3x2ddx3x-11+2x2ddx2x=31+9x2+21+4x2

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