Q41 of 107 Page 107

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

We have given,

Let Assume ,


Put x = cos θ then θ=cos-1x


SO,


And, 4cos3θ-3cosθ=cos3θ


Therefore,





Substitute the value of θ




Now, Differentiate w.r.t x



Since,


Hence,


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