Q. 503.9( 9 Votes )

Differentiate each of the following w.r.t x:

If . Prove that .

Answer :

Given: Value of


To Prove:


The formula used: (i)


(ii)


Let x = cos2θ


2θ = cos-1x


θ = cos-1x


Putting x = cos2θ






Dividing by cosθ in the numerator and denominator








Now Differentiating







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