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

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

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USHA PUBLICATION-CONTINUITY AND DIFFERENTIABILITY APPLICATION OF DERIVATIVES -EXERCISE
  1. Derivative of log10sinx w.r.to x is cotx.log10e

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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