Differentiate the following functions with respect to x :

(sin-1 x)x

Let y = (sin-1 x)x


Taking log both the sides:


⇒ log y = log (sin-1 x)x


⇒ log y = x log (sin-1 x) {log xa = alog x}


Differentiating with respect to x:











Put (sin-1 x)x:



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