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Write the value of d/dxsec^-1(1/(2x^2-1...

Write the value of `d/dxsec^-1(1/(2x^2-1))`, for `x in(0,1/sqrt2)`.

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`d/dxsec^-1(1/(2x^2-1))=d/dxcos^-1(2x^2-1)=d/dx2cos^-1x=-2/sqrt(1-x^2)`
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Is the function f(x)="sin"^(-1)(2x)/(1+x^2) differentiable at x=pm1?

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  2. Write the value of d/dx(sin^-1x+cos^-1x) for x in(-1,1).

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  3. Write the value of d/dxsec^-1(1/(2x^2-1)), for x in(0,1/sqrt2).

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  4. Write the interval in which the fuction f(x)=sin^-1(1-x) is differenti...

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  5. Write the value x for which d/dxsin(sin^-1x)=1

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  6. Write the value x for which d/dxsin^-1(sin x)=1

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  7. Write the derivative of sec^-1x with respect to x at x=-1/3.

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  8. Find the derivative of Inxa.

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  9. Write a logarithmic functions which is differentiable atevery point in...

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  10. Give example of two functions which are not derivable at x = 0 , but t...

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  11. Write the value of x for which d/dx"tan"^-1((2x)/(1-x^2))=2/(1+x^2)

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  12. If y=5^t and t=e^(3x). Write the value of dy/dx at x= 0

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  13. Write the derivative of sin^-1x with respect to cos^-1x.

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  14. Write the value of (dy)/dx if y=sinx+sqrt(sinx+sqrt(sinx+sqrt(sinx+......

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  15. Write the value of (dy)/dx if y=x^(x^(x^... oo))

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  16. Write the value of (dy)/dx at (1,0) where x^2y+y^2+x=0.

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  17. Write the minimum value of y2 where y=sin^2x cos^2x

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  18. If x=log t, y=t^2-1, then what is y2 at t=1 ?

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  19. What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

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  20. If y=1/(x(x+1))then what is y3?

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