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

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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
  1. Fill in the blanks : The derivative of cos^-1x w.r. to x if -1ltxlt1 i...

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

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

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

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

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

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

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

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  9. examine the contiunity of the following functions at indicated points ...

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  10. Examine the contiunity of the following functions at the indicated poi...

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  11. Examine the continuity of the following functions at indicated points....

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  12. Examine the contiunity of the the following functions at indicated poi...

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  13. Find the derivative of the following functions from definition sqrtx c...

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  14. Find the derivative of the following functions from definition sin^2x.

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  15. Find the derivative of the following functions from definition sqrt(ta...

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  16. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

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  17. Test the differentiability of the following functions f(x)=x/(1+absx)a...

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  18. If y = tan^-1((acosx-bsinx)/(bcosx+asinx)), then find (dy)/(dx)

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  19. If y = tan^-1(secx+tanx), then find (dy)/(dx).

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  20. Find (dy)/(dx), if y=sin^-1((sqrt(1+x)+sqrt(1-x))/2), -1ltxlt1

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