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Discuss the differentiability of f(x)=e^...

Discuss the differentiability of `f(x)=e^(-|x|)`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the differentiability of f(x)=|x|||x-1|dot

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

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  3. Discuss the differentiability of f(x)=e^(-|x|)

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  4. If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b...

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  5. Find the values of aa n db if f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1 is di...

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  6. Discuss the continuity and differentiability of f(x)=|x+1|+|x|+|x-1|AA...

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  7. Find x where f(x)=m a xi mu m{sqrt(x(2-x)),2-x} is non-differentiable.

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  8. Discuss the differentiability of f(x)=|px[x]| ,-1 < x <= 2

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  9. Discuss the differentiability of f(x)="max"{tan^(-1)x ,cot^(-1)x}dot

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  10. Find the values of aa n db if f(x)={a x^2+1,xlt=1 ,x^2+a x+b ,x &gt...

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  11. Discuss the differentiability of f(x=cos^(-1)((1-x^2)/(1+x^2))

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  12. The value of (lim)(x->0)(sqrt(2)-sqrt(1+cos x))/(sin^2x) is 1/(2sqrt(...

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  13. If a1=1\ a n d\ a(n+1)=(4+3an)/(3+2an),\ ngeq1\ a n d\ if\ (lim)(n->oo...

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  14. Evaluate the limit: ("lim")(nvecoo)cos(pisqrt(n^2+n))w h e nni sa nin ...

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  15. lim(n->oo)prod(r=3)^n(r^3-8)/(r^3+8)

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  16. If [x] denotes the greatest integer less than or equal to x , then eva...

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  17. Let f(x)=[((x^2+3x-1)t a n x)/(x^2+2x)\ if\ x!=0,kif\ x=0 f(x) is cont...

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  18. f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is co...

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  19. If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find t...

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  20. What kind of discontinuity the function (cosx)/x h a s\ \ a t\ x=0.

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