Differentiate each of the following w.r.t x:
If
. Prove that
.
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

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Now Differentiating





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