If $f\left(x\right)=-\left({\sin }^{2}x+{\cos }^{5}x\right),$ then $\underset{x\to 0}{\lim }\frac{1}{x}{f}^{\text{'}}\left(x\right)$

Important Questions on Differentiation

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differentiation>TS EAMCET - 5 August 2021 Shift 2>Q 16

If $y=x^{\sqrt{x}},$ then $\frac{dy}{dx}=$

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differentiation>TS EAMCET 2020 (9-Sep Shift-1)>Q 17

If $a{x}^2+2hxy+b{y}^2=0,$ then $\frac{d^{2}y}{d{x}^2}=$

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differentiation>TS EAMCET 2018 (04-May Shift-1)>Q 18

If $y=\frac{{\left({\sin }^{-1}x\right)}^2}{2}$, then $\left(1-x^2\right)y_2-x{y}_1=$

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differentiation>TS EAMCET 2021 (04-Aug Shift-1)>Q 19

If $x^2+xy+y^2=k,$ then $\frac{d^{2}y}{d{x}^2}=$

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Differentiation>TS EAMCET - 5 August 2021 Shift 2>Q 20

If $x=a(t-\sin t)$ and $y=a(1+\cos t)$ then $\frac{d^{2}y}{d{x}^2}=$