Q16 of 45 Page 1

If show that

To prove:


Given,



⇒ a tan-1 x = log y


⇒ log y = a tan-1 x


Differentiating both sides w.r.t x using chain rule , we get-


{∵ }


⇒ …(1)


Again differentiating w.r.t x and applying product and chain rule we get –



⇒


⇒


⇒


⇒


Using equation 1:


⇒


⇒


Hence,


.


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