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Number of points at which f(x) = |x^2+x|...

Number of points at which `f(x) = |x^2+x|+|x-1|` is non-differentiable is

A

0

B

1

C

2

D

3

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The correct Answer is:
D
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  7. If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) gt 0 for all x in R, then lim(...

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  8. If phi(x)=lim(nrarrinfty)(x^(2n)f(x)+g(x))/(1+x^(2n)), then

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  9. Let f(x) = [x^3 - 3] where [.] denotes the greatest integer function T...

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  12. Let f(x)={((x-4)/(|x-4|)+a, xlt4),(a+b, x=4),((x-4)/(|x-4|)+b,x gt 4)...

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  13. Let f(x)= {(a|x^2-x-2| /(2+x-x^2) , xlt2),(b, x = 2), ((x-[x])/(x-2), ...

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  14. The value of f (0), so that function f(x) = (sqrt(a^2-ax+x^2)-sqrt(a^...

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  15. Let f(x) = |x|-1|, then points where f(x), is not differentiable is/ar...

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  16. Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, ...

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  18. Let f : R rarr R be any function. Define g : R rarr R by g(x)=|f(x)| f...

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  19. If f(x) = lim(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

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  20. The function f(x)=(sin2x)^(tan^2 2x) is not defined at x=pi/4. The val...

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