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" 21."cosec^(3)(1)/(x^(2))...

" 21."cosec^(3)(1)/(x^(2))

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The derivative of cosec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=(1)/(2) , is

cosec^(-1)3x

cosec^(-1)3x

Differentiate cosec^(-1)(1/(3x-4x^(3))) :

lim_(x rarr(3 pi)/(2))(1+cosec^(3)x)/(cot^(2)x)

lim_(x rarr(3 pi)/(2))(1+cosec^(3)x)/(cot^(2)x)

"cosec"h^(-1) ((3)/(2))+"cosec"h^(-1)(-(1)/(2))=

Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1 - 3x^(2))/(3x - x^(3))).

"cosec"^(-1)((1+x^(2))/(2x))

(d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :