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Differential coefficient of tan^(-1)sqrt...

Differential coefficient of `tan^(-1)sqrt((1-x^2)/(1+x^2))` w.r.t. `cos^(-1)(x^2)` is equal to.....

A

`1/2`

B

`-1/2`

C

1

D

0

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIATION -HIGHER ORDER DERIVATIVES
  1. If x= sin^(-1)(3t-4t^(3)) and y=cos^(-1)(sqrt(1-t^(2))), then (dy)/(dx...

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  2. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

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  3. Differential coefficient of tan^(-1)sqrt((1-x^2)/(1+x^2)) w.r.t. cos^(...

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  4. If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)), then (dy)/(dx) is equal...

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  5. If y=sin(2 sin^(-1)x), then (dy)/(dx)=

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  6. The derivative of tan^(-1)[(sin x)/(1+ cosx)] with respect to tan^(-1)...

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  7. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

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  8. The derivative of sec^(-1)(1/(2x^2+1)) with respect to sqrt(1+3x) at x...

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  9. If x=sin tcos 2t,y=cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

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  10. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

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  11. If : y=cos^(2)((3x)/(2))-sin^(2)((3x)/(2))," then: "(d^(2)y)/(dx^(2))=

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  12. If x=t^(2) and y=t^(3)+1, then (d^(2)y)/(dx^(2)) is

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  13. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

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  14. If x=log t, t gt 0 and y=1/t, then (d^(2)y)/(dx^(2)), is

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  15. If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " the...

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  16. Let f be a function defined for every x, such that f''=-f, f(0)=0,f'(0...

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  17. If e^y\ (x+1)=1 , then (d^(2)y)/(dx^(2))= .

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  18. If y=ax^(5)+(b)/(x^(4))," then "(d^(2)y)/(dx^(2))=

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  19. If y=a x^(n+1)+b x^(-n),t h e n x^2(d^2y)/(dx^2) is equal to

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  20. If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...

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