If \( y=\log \left(x+\sqrt{1+x^{2}}\right) \), prove that \( \mathr...

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=v1pBjl0yESM


Duration: 0:00
10 views
0

If \( y=\log \left(x+\sqrt{1+x^{2}}\right) \), prove that
\( \mathrm{P} \)
\[
\frac{d y}{d x}=
\]
\[
\frac{1}{\sqrt{1+x^{2}}} \text {. }
\]
📲 PW App Link - https://bit.ly/YTAI_PWAP
🌐 PW Website - https://www.pw.live/



Other Videos By PW Solutions


2023-02-25Find \( \frac{d y}{d x} \), when: \( \mathrm{P} \) \[ y=(2-x)^{3}(3...
2023-02-25Verify Rolle's theorem for each of the following functions: \( \mat...
2023-02-25If \( y=(\tan x)^{\cot x}+(\cot x)^{\tan x} \), prove that P \( \fr...
2023-02-25Solve the following equations: PE \[ \left|\begin{array}{ccc} x & -...
2023-02-25If \( y=\tan ^{-1} \frac{a}{x}+\log \sqrt{\frac{x-a}{x+a}} \), prov...
2023-02-25Find the adjoint of the given matrix and verify in each case that \...
2023-02-25Find the inverse of each of the matrices given below: \( \mathrm{P}...
2023-02-25Which of the following easily catalyse the decomposition of \( \mathrm{H}_{2} \mathrm{O}_{2} \) ...
2023-02-25Prove that: adj \( O=O \) P
2023-02-25Using properties of determinants prove that: P \[ \left|\begin{arra...
2023-02-25If \( y=\log \left(x+\sqrt{1+x^{2}}\right) \), prove that \( \mathr...
2023-02-25Using properties of determinants prove that: P If \( x \neq y \neq ...
2023-02-25Prove that: adj \( I=I \) PW
2023-02-25Assertion (A): रदरफोर्ड के \( \alpha \)-कण के प्रकीर्णन वाले प्रयोग में, अधिकांश \( \alpha \)-कण...
2023-02-25Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...
2023-02-25Prove that P \[ -\left|\begin{array}{ccc} 1 & a^{2}+b c & a^{3} \\ ...
2023-02-25Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...
2023-02-25Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...
2023-02-25Find the inverse of each of the matrices given below: \( \mathrm{P}...
2023-02-25Solve the following equations: PE \[ \left|\begin{array}{ccc} x+a &...
2023-02-25Using properties of determinants prove that: \( \mathrm{P} \) \[ \l...