If $y={\left(x\log x\right)}^{\log \left(\log x\right)},$ then $\frac{dy}{dx}=$

Important Questions on Differentiation

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 58

If $y={\left[{\left(\tan x\right)}^{\tan x}\right]}^{\tan x},$ then at $x=\frac{\pi }{4},$ the value of  $\frac{dy}{dx}=$

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 59

If $y=1+x{e}^y,$ then $\frac{dy}{dx}=$

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 60

If $xy=1+\log y$ and $k\frac{dy}{dx}+y^2=0,$ then $k$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 61

If ${\tan }^{-1}\left(x^2+y^2\right)=\alpha ,$ then $\frac{dy}{dx}$ is equal to

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 62

If $y=e^{{\sin }^{-1}\left(t^2-1\right)}$ and $x=e^{{\sec }^{-1}\left(\frac{1}{t^2-1}\right)},$ then $\frac{dy}{dx}$ is equal to

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 63

If $2x^2-3xy+y^2+x+2y-8=0,$ then $\frac{dy}{dx}$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 64

If $y\sec x+\tan x+x^{2}y=0,$ then $\frac{dy}{dx}=$ 

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 3 - Differentiation>Competitive Thinking>Q 65

If $y=\sqrt{x+\sqrt{x+\sqrt{x+\dots \mathit{\infty }}}},$ then $\frac{dy}{dx}=$