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

Important Questions on Differentiation

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 157

The differential coefficient of $f\left(\sin x\right)$ with respect to $x$ where $f\left(x\right)=\log x$ is 

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 158

If $x=a\left(t-\frac{1}{t}\right), y=a\left(t+\frac{1}{t}\right)$ when $\frac{dy}{dx}=$

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 159

If $x=a\cos 4t+b\sin 4t$ then $\frac{d^{2}x}{d{t}^2}=$

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 160

If $y=\frac{e^x+e^{-x}}{e^x-e^{-x}}$ then $\frac{dy}{dx}$ is equal to

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 161

If $y={\tan }^{-1}\frac{\sqrt{1+x^2}-\sqrt{1-x^2}}{\sqrt{1+x^2}+\sqrt{1-x^2}}$ then $\frac{dy}{dx}$ is equal to

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 162

If $x=\sin t, y=\sin pt$ ,then 

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 163

If $y={\tan }^{-1}\frac{\left[\right(\sqrt{1+\sin 2x})}{1-\frac{1}{2}\sin 2x}+{\tan }^{-1}\left({\tan }^2\frac{x}{2}\right)$ then $\frac{dy}{dx}$ at $x=\frac{\pi }{3}$ is

EASY

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 19 - Differentiation>Exercise 1>Q 164

If $\sin x+\cos y=xy$ then $\frac{dy}{dx}=$