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If x=cos^-1(1/(sqrt(1+t^2))), y=sin^-1(1...

If `x=cos^-1(1/(sqrt(1+t^2)))`, `y=sin^-1(1/(sqrt(t^2+1)))` then `dy/dx` is independent of t.

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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
  1. There is no function which is its own derivative

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  2. The derivative of a non constant even function is always an odd functi...

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

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  4. The derivative of sec^-1(1/(2x^2-1)) w.r.t. sqrt(1-x^2) is 3

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  5. Derivative of log10sinx w.r.to x is cotx.log10e

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  6. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

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  7. f(x)=xabsx is derivable at x=0.

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  8. Fill in the blanks : The derivative of sec^-1x w.r.to x if xlt-1 is

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  9. Fill in the blanks : The derivative of sec^-1x w.r.to x if xgt1 is

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  10. Fill in the blanks : The derivative of cosec^-1x w.r.to x if xgt1 is

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  11. Fill in the blanks : The derivative of cosec^-1x w.r.to x if xlt-1 is

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  12. Fill in the blanks : The derivative of sin^-1x w.r.to x if -1ltxlt1 is

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  13. Fill in the blanks : The derivative of cos^-1x w.r. to x if -1ltxlt1 i...

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  14. Fill in the blanks : The derivative of abs(2x-5) when xlt5/2 is

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  15. Give an example of a function which is neither one-one nor onto

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  16. Check the injectivity of the following function f: R rarr R is given b...

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  17. What is the maximum value of sinx cosx for x in(pi/6,pi/2)?

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  18. Find the extreme points of the function y= x+1/x.

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  19. Does the. normal at any point on a circle passes through the centre of...

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  20. Examine the continuity of the following functions at the indicated poi...

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