Differentiate w.r.t. x the function

, for x > 3

Let y =

And let = u & = v

∴ y = u + v

Differentiating both sides w.r.t. x we get

………..(I)

Now,

Taking logarithm both sides

⇒

Differentiating w.r.t. x, we get

⇒

⇒ ……………(II)

Also,

Taking logarithm both sides

⇒

Differentiating both sides w.r.t. x

⇒

⇒

⇒ ……………………….(II)

Substituting (II) and (III) in (I)

∴