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If y=log((1-x^(2))/(1+x^(2))),|x|lt1, th...

If `y=log((1-x^(2))/(1+x^(2))),|x|lt1`, then `(dy)/(dx)`=

A

`(4x^(3))/(1-x^(4))`

B

`(-4x)/(1-x^(4))`

C

`(1)/(4-x^(4))`

D

`(-4x^(3))/(1-x^(4))`

Text Solution

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The correct Answer is:
B
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ICSE-CONTINUITY AND DIFFERENTIABILITY -MULTIPLE CHOICE QUESTIONS
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  2. If y=log(sece^(x^(2))) , then (dy)/(dx)=

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  3. If y=log((1-x^(2))/(1+x^(2))),|x|lt1, then (dy)/(dx)=

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  4. If f(x)=logx , then the derivative of f (logx)w.r.t.x is

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  5. For the curve sqrt(x)+sqrt(y)=1 , (dy)/(dx) at (1//4,\ 1//4) is (a)...

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  6. If y=sqrt(sinx+y) , then (dy)/(dx) equals (cosx)/(2y-1) (b) (cosx)/(1-...

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  7. The derivative of sec (tan^(-1)x) w.r.t.x is

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  8. If f(x) =xtan^(-1)x, then f '(1) is equal to

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  9. The derivative of tan^(-1)((3x-x^(3))/(1-3x^(2)))w.r.t.x is

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  10. The derivative of tan^(-1)x w.r.tcot^(-1) x is

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  11. The derivative of cos^(-1)(2x^(2)-1) w.r.tcos^(-1)x is

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  12. The derivative of sin^(-1)((2x)/(1+x^(2)))w.r.ttan^(-1)((2x)/(1-x^(2))...

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  13. The derivative of tan^(-1)((x)/(sqrt(1-x^(2)))) w. r.t is

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  14. The derivative of sin^(-1)((x)/(sqrt(1+x^(2)))) w.r.t .x is

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  15. If y=cos^(-1)((sqrt(x)-1)/(sqrt(x)+1))+cosec^(-1)((sqrt(x)+1)/(sqrt(x)...

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  16. If y=a(1+cost)andx=a(t-sint), then (dy)/(dx) is equal to:

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  17. If x=acos^(3)t and y=asin^(3)t, then (dy)/(dx) is equal to

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  18. If x=t^(2)andy=t^(3) , then (d^(2)y)/(dx^(2)) is equal to: a) (3)/(2) ...

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  19. The derivative of log x with repect to (1)/(x) is

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  20. The function F:RtoR given by f(x)=-|x-1| is

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