For constant $a$, $\frac{d}{dx}\left(x^x+x^a+a^x+a^a\right)$ is

Important Questions on Differential Coefficient

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Differential Coefficient>KCET (UG) 2021>Q 17

If the parametric equation of curve is given by $x=\cos \theta +\mathrm{logtan}\frac{\theta }{2}$ and $y=\sin \theta ,$ then the points for which $\frac{dy}{dx}=0$ are given by

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Differential Coefficient>KCET (UG) 2020>Q 18

If $y=2x^{n+1}+\frac{3}{x^n}$, then $x^2\frac{{\mathrm{d}}^{2}y}{\mathrm{d}{x}^2}$ is

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 25 - Differential Coefficient>KCET (UG) 2019>Q 19

If $x=a {\sec }^2\theta ,y=a {\tan }^2\theta$ then $\frac{d^{2}y}{d{x}^2}=$