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At the point x = 1 , then function f(...

At the point x = 1 , then function
`f(x) = {{:(x^(3) - 1, 1lt x lt oo),(x - 1 , 1 - oolt x le 1):}` is

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
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  2. Find the following function is differentiable at a given point or n...

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  3. At the point x = 1 , then function f(x) = {{:(x^(3) - 1, 1lt x lt o...

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  4. The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/...

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  5. Find the left and right hand derivative of the following function a...

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  8. Examine the continuity and differentiability of the function f(x...

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  9. If the function f(x) defined as f(x)= -x^2/x, x<=0 and f(x)=x^nsin(1/x...

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  10. If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^...

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  11. Let f(0)=0 and f'(0)=1. For a positive integral k show that lim(x->o) ...

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  13. If f(x)= ax^2-b, |x|<1 and f(x)=-1/|x|, |x|>=1 is derivable at x=1 th...

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  14. Let f(x) be difined in the interval [-2, 2] such that f(x)={{:(-1"...

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  15. Discuss the continuity and differentiability in 0,2] of f(x)={|2x-3|...

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  16. Let a1 and a2 be two values of a for which f(x)= x*{ln(1+x)+ln(1-x)}/(...

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  17. Discuss the continuity & the derivability of 'f' where f(x)= degree ...

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  18. Consider the function f(x)=[x^2|cospi/(2x)|\ if\ x!=0 0,\ \ \ \ \ \ ...

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  19. A derivable function f : R^(+) rarr R satisfies the condition f(x) - f...

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  20. If f(x) = {{:(x - 3",",x lt 0),(x^(2)-3x + 2",",x ge 0):}"and let" g(x...

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