For the function $y = \tan^{-1} x$,the value of $(1 + x^2) y_2$ is . . . . . .
- A$-2 x y_1$
- B$2 x y_1$
- C$x y_1$
- D$-x y_1$
Explore More
Similar Questions
If $y = a \cos(\log x) + b \sin(\log x)$ where $a, b$ are parameters,then ${x^2}y'' + xy' = $
Medium
View SolutionIf $y=f(x)$ is a thrice differentiable function and a bijection,then $\frac{d^2 x}{d y^2}\left(\frac{d y}{d x}\right)^3+\frac{d^2 y}{d x^2}=$
If $y = \operatorname{Sec}^{-1} x$, then $\frac{d^2 y}{d x^2} = $
Find the second order derivative of the function $\sin (\log x)$.
Medium
View SolutionIf $y = a \cos (\ln x) + b \sin (\ln x)$,then $x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx}$ is equal to
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo