If $S^2=a{t}^2+2 \mathrm{bt}+c$, then the acceleration is

Important Questions on Differential Coefficient

MEDIUM

COMEDK UGET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>COMEDK UGET 2015>Q 1

If $f(x+y)=f\left(x\right) f\left(y\right)$ for all $x$ and $y$ and $f\left(5\right)=2, f^{\text{'}}\left(0\right)=3$, then $f^{\text{'}}\left(5\right)$ is

MEDIUM

COMEDK UGET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>COMEDK UGET 2015>Q 1

If $f\left(x\right)={\log }_{x^2} (\log x)$, then $f^{\text{'}}\left(x\right)$ at $x=e$ is

MEDIUM

COMEDK UGET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>COMEDK UGET 2014>Q 1

If $f\left(x\right)=\frac{2x-3}{3x-4}$, then $f^{\text{'}}\left(\frac{-4}{3}\right)=$

HARD

COMEDK UGET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>COMEDK UGET 2014>Q 1

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

HARD

COMEDK UGET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 20 - Differential Coefficient>COMEDK UGET 2014>Q 1

If $y={\tan }^{-1}\left(\frac{a-x}{1+ax}\right)$, then $\frac{dy}{dx}=$