Differentiate the functions given in w.r.t. x.

Question

Philoid · Accepted Answer

Given:

Let y=

Let y = u + v

Taking log on both sides, we get

⇒log u = x.cos x.log x

Now, differentiate both sides with respect to x

Taking log on both sides, we get

⇒ log v = log (x² + 1) – log (x² – 1)

Now, differentiate both sides with respect to x

Because, y = u + v