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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5i
- If y=sqrt(sin x+sqrt(sin x +sqrt(sin x+....oo))) " then prove that " d...
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- If y=sqrt(cos x+sqrt(cos x +sqrt(cos x+....oo))) " then prove that " d...
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- If y=sqrt(tan x+sqrt(tan x +sqrt(tan x+....oo))) " then prove that " d...
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- If y=sqrt(log x+sqrt(log x +sqrt(log x+....oo))) " then prove that " ...
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- If y=x^(x^(x...oo)) then prove that xdy/dx=(y^2)/(1-ylogx)
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- If y=(cos x)^((cosx)^((cos x )...oo)) then prove that dy/dx=(y^2 tan x...
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- If y=e^(x+e^(x+e^(x+.....oo),prove that (dy)/(dx)=y/(1-y)
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- If y =x+(1)/(x +(1)/(x+.....oo)) then prove that xdy/dx =y/(2y -x).
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- y =x^2+(1)/(x^2 +(1)/(x^2+.....oo)) then prove that xdy/dx =(2xy^2)/(1...
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- If y=sqrt(x)^(sqrt(x)^(sqrtx...oo)) then prove that dy/dx=(y^2)/(x(2-y...
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