1. >Mathematics
  2. >Derivatives
  3. >find the derivative of log x x 2 1
Question:

Find the derivative of \(log(x+\sqrt{x^2+1})\)

Updated On: Sep 27, 2023
Hide Solution
collegedunia
Verified By Collegedunia

Solution and Explanation

Derivative of log[x+√(x2+1)]
derivative of \(log(x+\sqrt{x^2+1})\)
Was this answer helpful?
0
0

Top Questions on Derivatives

  • Differentiate $2\cos^2 x$ w.r.t. $\cos^2 x$.
    • CBSE CLASS XII - 2025
    • Mathematics
    • Derivatives
    View Solution
  • If \( x = a \left( \cos \theta + \log \tan \frac{\theta}{2} \right) \) and \( y = \sin \theta \), then find \( \frac{d^2y}{dx^2} \) at \( \theta = \frac{\pi}{4} \).
    • CBSE CLASS XII - 2025
    • Mathematics
    • Derivatives
    View Solution
  • Find the values of \( a \) for which \( f(x) = x^2 - 2ax + b \) is an increasing function for \( x>0 \).
    • CBSE CLASS XII - 2025
    • Mathematics
    • Derivatives
    View Solution
  • If the function $f(x) = x^3 - 3x^2 + 6$ is defined on the interval $[0,4]$, the maximum value is
    • IPU CET - 2025
    • Mathematics
    • Derivatives
    View Solution
  • Let $ f $ be defined as $ R \setminus \{0\} \to R $ such that $ f(x) = \frac{x}{3} + \frac{3}{x} + 3 $ If $ f(x) $ is strictly increasing in $ (-\infty, \alpha_1) \cup (\alpha_2, \infty) $ and strictly decreasing in $ (\alpha_3, \alpha_4) \cup (\alpha_4, \alpha_5) $, then $ \sum_{i=1}^5 (\alpha_i)^2 $ is equal to:
    • JEE Main - 2025
    • Mathematics
    • Derivatives
    View Solution
View More Questions