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If t(1+x^(2))=x and x^(2)+t^(2)=y then a...

If `t(1+x^(2))=x and x^(2)+t^(2)=y` then at x = 2, the value of `(dy)/(dx)` is

A

`88/125`

B

`488/125`

C

1

D

`244/125`

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The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
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  2. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

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  3. If t(1+x^(2))=x and x^(2)+t^(2)=y then at x = 2, the value of (dy)/(dx...

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  4. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

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  5. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal t...

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  6. Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...

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  7. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

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  8. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

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  9. If y = tan^(-1)( sqrt((x+1)/(x-1))) " for " |x| gt 1 " then " (dy)/(d...

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  10. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

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  11. If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx) at x = 1 is

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  12. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

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  14. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

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  15. The value of C ( if exists ) in Lagrange's theorem for the function |x...

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  16. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

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  17. If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

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  18. f(x)=sqrt(1-sqrt(1-x^2) then at x=0 ,value of f(x) is

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  19. Domain of differentiations of the function f(x) = |x -2| cos x is

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  20. Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the great...

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