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If y = sqrt(x+sqrt(x+sqrt(x+sqrt(x)))) t...

If `y = sqrt(x+sqrt(x+sqrt(x+sqrt(x)))) to infty, find dy/dx`:

A

`1/(2y-1)`

B

`1/(1-2y)`

C

`yx^(1/2)`

D

`1/(2xy - 1)`

Text Solution

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The correct Answer is:
A
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PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -PROBLEMS FOR PRACTICE
  1. f(x)=sqrt(1+sin2x) then f'(x) is:

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  2. If y=tan^(-1)(e^(x)) find dy/dx at x=0:

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  3. If y = sqrt(x+sqrt(x+sqrt(x+sqrt(x)))) to infty, find dy/dx:

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  4. Differentiate cosec^(-1)(1/(3x-4x^(3))):

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  5. x = a sin^(2)theta , y = b cos^(2)theta then dy/dx:

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  6. x = ct, y = c/t, then dy/dx is:

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  7. Find dy/dx if x^(2)/a^(2)-y^(2)/b^(2) = 1:

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  8. y = e^(ax) then (d^(n)y)/(dx^(n)) = y(n) is:

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  9. If y = A cos 4x + b sin 4x, (d^(2)y)/(dx^(2)) +ky=0, find k:

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  10. (k+1)^(15) derivative of (x+1)^(k) is:

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  11. If y = e^(x) sin ax and (d^(2)y/(dx^(2))-2dy/dx + 5y = 0 find a:

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  12. If y = cos (m sin^(-1) x), prove that (1-x^2)y3 -3 xy2 + ( m^2 -1) y1=...

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  13. If y = 2^(-1/x) then dy/dx is:

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  14. If y = x^(x) then dy/dx is:

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  15. If y = f(x^(2)+x+1) and f'(2) = 7 find dy/dx at x =2 is:

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  16. If y =ax^(2)+b, y(0) = 2 and y'(1) = 2 then find y(2):

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  17. It is given that f'(a) exists, then lim(xrarra) (x^(2)f(a) - a^(2)f(x)...

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  18. If f(x) = 2x+5 if xge1 Then the left hand derivative of f(x)at x =1 i...

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  19. If g(x)=(x^(3) - 2x + 4) f(x) and f(0) = 3 and lim(xrarr0) (f(x)-3)/x...

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  20. The number of points in R in which the function f(x) = |x - 1| + | x- ...

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