Q. 155.0( 2 Votes )

Differentiate the

Answer :

Let, y =


y =


We have to find dy/dx.


Let, tan θ = 6x


Differentiating both sides w.r.t x and using chain rule-



…(1) [ sec2 θ = 1 + tan2θ ]


Similarly,


y =


we know that- sin2θ =


y = sin-1(sin 2θ ) = 2θ [using ITF basic properties]



Using equation 1 we get –



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