YESPYQ Start Practice
🛠️ JEE➗ Maths

Let \(f\) be a real valued function, defined on \(R-\{-1,1\}\) and given by \(f(x)=3 \log _e\left|\frac{x-1}{x+1}\right|…

Q1

Let \(f\) be a real valued function, defined on \(R-\{-1,1\}\) and given by \(f(x)=3 \log _e\left|\frac{x-1}{x+1}\right|-\frac{2}{x-1}\). Then in which of the following intervals, function \(f(x)\) is increasing?

[JEE Main 2021, 16 Mar (Shift 2)]

a

\((-\infty, \infty)-\{-1,1\}\)

b

\(\left(-\infty, \frac{1}{2}\right]-\{-1\}\)

c

\((-\infty,-1) \cup\left(\left[\frac{1}{2}, \infty\right)-\{1\}\right)\)

d

\(\left(-1, \frac{1}{2}\right]\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Application of Derivatives, or browse the full JEE question bank.

See all questions on Application of Derivatives →