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Differentiate with (x^2+\ 1) respect to ...

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

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If "y"=sqrt("x")+1/"x", Show that 2"x"("dy")/("dx")+"y"=2"\ "sqrt("...

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

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

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

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

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

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

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

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  10. Using integration, find the area of the region enclosed between the...

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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. Using the properties of determinants, prove that following |(a-b,-c^2,...

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

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

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

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