If \( y=\tan ^{-1}\left\{\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\rig....
P
If \( y=\tan ^{-1}\left\{\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\right\}+\tan ^{-1}\left(\frac{3+2 \log x}{1-6 \log x}\right) \), then \( \frac{d^{n} y}{d x^{n}} \) is
(1) \( \tan ^{-1}\left\{(\log x)^{n}\right\} \)
(2) 0
(3) \( 1 / 2 \)
(4) none of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-23 | Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following
questions.
\( f^{\prime}\left(\frac.... |
| 2024-01-23 | Let \( f(x) \) be a polynomial function satisfying
\( f(x)+f\left(\frac{1}{x}\right)=f(x) f\left.... |
| 2024-01-23 | Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo.... |
| 2024-01-23 | Using \( \lim _{x \rightarrow a}\left(\frac{x^{n}-a^{n}}{x-a}\right)=n a^{n-1} \), answer the fo.... |
| 2024-01-23 | Let \( f(x)=e^{\sin x}+(\tan x)^{x} \). Answer the following
questions.
\( f^{\prime}\left(\frac.... |
| 2024-01-23 | If a curve is given by \( x=a \cos t+\frac{b}{2} \cos 2 t \) and
\( y=a \sin t+\frac{b}{2} \sin .... |
| 2024-01-23 | If \( f(x)=x^{3}+x^{2} f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime \prime}(3) \) for a.... |
| 2024-01-23 | The differential coefficient of \( a^{\log _{10} \operatorname{cosec}^{-1} x} \), is.... |
| 2024-01-23 | Let \( x=2 \sin \theta-\sin 2 \theta \) and \( y=2 \cos \theta-\cos 2 \theta \), then
\( \left(\.... |
| 2024-01-23 | If \( f(x)=\left(\frac{x}{3+x}\right)^{x} \), then.... |
| 2024-01-23 | If \( y=\tan ^{-1}\left\{\frac{\log \left(\frac{e}{x^{2}}\right)}{\log \left(e x^{2}\right)}\rig.... |
| 2024-01-23 | The \( \lim _{x \rightarrow 0} x^{8}\left[\frac{1}{x^{3}}\right] \) (where \( [x] \) is greatest.... |
| 2024-01-23 | \( \lim _{x \rightarrow \infty}\left\{\frac{1^{2}}{1-x^{3}}+\frac{3}{1+x^{2}}+\frac{5^{2}}{1-x^{.... |
| 2024-01-23 | If \( y=\sqrt{\frac{2(\tan \alpha+\cot \alpha)}{1+\tan ^{2} \alpha}+\frac{1}{\sin ^{2} \alpha}} .... |
| 2024-01-23 | If \( y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\ldots \infty}}}} \), then \( \frac{d y}{d x} \) is equa.... |
| 2024-01-23 | Let \( g(x)=\log f(x) \), where \( f(x) \) is twice differentiable
positive function on \( (0, \.... |
| 2024-01-23 | If \( f(x)=x^{n} \), then the value of
\[
f(1)-\frac{f^{\prime}(1)}{1 !}+\frac{f^{\prime \prime}.... |
| 2024-01-23 | Let \( f(x) \) be a differentiable function such that
\( f^{\prime}(x)=\sin x+\sin 4 x \cos x \).... |
| 2024-01-23 | If \( f(x)=|x|^{|\sin x|} \), then \( f^{\prime}\left(-\frac{\pi}{4}\right) \) equals.... |
| 2024-01-23 | For each \( t \in R \), let \( [t] \) denote the greatest integer less
than or equal to \( t \)..... |
| 2024-01-23 | Let \( a=\min \left\{x^{2}+2 x+3: x \in R\right\} \) and
\( b=\lim _{\theta \rightarrow 0} \frac.... |
0