1.

Differentiate x3 cosec x.

Answer»

\(\frac{d}{dx}(x^3cosec x)\)

 = x3\(\frac{d}{dx}cosec x+(\frac d{dx}x^3)cosec x\) 

 = - x3 cosec x cot x + 3x2 cosec x

 = x2 cosec x(3 - x cot x)



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