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Discuss the continuity and differentia...

Discuss the continuity and differentiability of `f(x)={1-x ,\ \ \ \ x<1\ \ \ \ \ \(1-x)(2-x),\ \ \ \ 1lt=xlt=2 \ \ \ \ \3-x ,\ \ \ x >2`

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RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. Find f\ '\ (2) and f\ '\ (5) when f(x)=x^2+7x+4 .

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  2. For the function f given by f(x)=x^2-6x+8 , prove that f\ '\ (5)=4 .

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  3. Discuss the continuity and differentiability of f(x)={1-x ,\ \ \ \ ...

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  4. Discuss the differentiability of f(x)=|x-1|+|x-2|

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  5. If f(x)={x^2+3x+a ,\ \ \ for\ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ \ \ \ for...

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  6. Discuss the differentiability of f(x)=|(log)ex| ,x>0

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  7. If f is defined by f(x)=x^2 , find f\ '\ (2) .

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  8. If f is defined by f(x)=x^2-4x+7 , find f\ '\ (x)

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  9. find the derivative of the function f given by f(x)=2x^3-9x^2+12 x+9

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  10. If for the function "Phi"(x)=lambdax^2+7x-4,\ \ "Phiprime^"(5)=97 , fi...

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  11. If f(x)=x^3+7x^2+8x-9 , find f\ '\ (4) .

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  12. Find the derivative of the function f defined by f(x)=m x+c at x=0 ...

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  13. Examine the differentiability of the function f defined by f(x)={2x+...

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  14. Write an example of a function which is everywhere continuous but f...

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  15. Discuss the continuity and differentiability of f(x)=|log|x|| .

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  16. Discuss the continuity and differentiability of f(x)=e^(|x|) .

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  17. Discuss the continuity and differentiability of f(x)={(x-c)cos(1/(x...

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  18. Is |sinx| differentiable? What about cos|x|?

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  19. Define differentiability of a function at a point.

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  20. Is every differentiable function continuous?

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