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Discuss the differentiability of f(x)={(...

Discuss the differentiability of f(x)=`{((sinx^2)/x ,x!=0), (0,x=0):}` at x=0

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...

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  2. Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...

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  3. Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...

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  4. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

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  5. Using intermediate value theorem, prove that there exists a number x s...

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  6. Is the function is non-differential at x=0? f(x)="x"|"x"|

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  7. Is the function is non-differential at x=0? f(x)="cos"|x|

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  8. f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where...

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  9. Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not ...

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  10. Discuss the continuity of f(x)=(log|x|)sgn(x^2-1),x!=0.

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  11. If f(x) is continuous function AAx in R and the range of f(x) = (2, sq...

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  12. Discuss the continuity of f(x) where f(x)=lim(nrarrinfty)("sin" (pix)/...

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  13. Discuss the continuity of f(x)=[tan^(-1)x]

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  14. If y=1/(t^2+t-2),where \ t=1/(x-1), then find the number of points w...

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  15. Let f be a continuous function defined onto [0,1] with range [0,1]. S...

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  16. Let f be continuous on the interval [0,1] to R such that f(0)=f(1)dot ...

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  17. f(x)={(a x(x-1)+b ,, x<1),(x-1 ,, 1lt=xlt=3),(p x^2+q x+2 ,, x >3):} ...

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  18. Find the values of a and b if f(x)={a+sin^(-1)(x+b), xgeq1 and x ,x<1 ...

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  19. Discuss the differentiability of y=sin^(-1)|sinx|

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  20. Discuss the differentiability of f(x)=m a x{2sinx ,1-cosx}AAx in (0,...

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