Differentiate the following function with respect of `x\:(x^n)/(sinx)`

Explanation

Let `y=x/sin^nx
`

Differentiating y w.r.t. x, we get

`(d/dx)= (sin^n×(d/dx)(x)−x(d/dx)(sin^nx))/(sin^nx)^2` (By quotient formula)


`=(sin^nx×1−x(d/dx)(sin x)^n)/(sin^(2n)x
)`

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