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If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/...

If `y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)))` find `(dy)/(dx)`

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y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy/dx

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the image of the point (1,2, 3) in the plane "x"+2"y"+4"z"=38

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  2. A and B toss coin alternately till one of them gets a head and wins...

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  3. If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) fin...

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  4. Differentiate (x^2+\ 1) with respect to x from first principle.

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  5. Evaluate : int(sinx)/((1-cosx)\ (2-cosx)\ dx

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  6. Using matrices, solve the following system of equations : x+2y-3z=6...

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  7. If y=sin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+\ y=0

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  8. Verify Rolle's theorem for the function f(x)=\ x^2-5x+4\ on [1, 4].

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  9. Find the projection of vec b+ vec c on vec a where vec a=2 hat i-\...

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  10. Evaluate int0^2(x^2+\ 2x+1)dx as limit of a sum.

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  11. Using properties of definite integrals, prove the following : into...

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  12. Evaluate: intcos4x cos3x\ dx

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  13. Evaluate : int(1+x^2)/(1+x^4)dx

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  14. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

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  15. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

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  16. If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

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  17. An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...

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  18. Find the equation of the sphere passing through the points (3,0,0), (0...

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  19. Find the equation of the plane which is perpendicular to the plane ...

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  20. A particle starting with initial velocity of 30 m/sec moves with a u...

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