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

Question

Philoid · Accepted Answer

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,