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The sum of all values of x for which the...

The sum of all values of x for which the function `f(x) = sqrt(|x^(2)-5x+6|))` is continuous, but not differentiable is

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CENGAGE-CONTINUITY AND DIFFERENTIABILITY-Question Bank
  1. Let f(x) = {(sqrt(x^(2)-1), x le sqrt10),((sqrt(10x)-7), sqrt10lt xlt...

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  2. Let f(x) = sqrt(x^(2)+px+1)/(x^(2)-p). If f(x) is discontinuous at exa...

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  3. Number of points of non-derivability of the function f(x) = root (3)((...

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  4. If f(x) = {(lim(x rarr oo)(6^(t)+10^(t))^(1/t), x = 0),(x^(2)+4x+C, x ...

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  5. Number of point(s) in [1,2] where f(x) = (-2)^([x^(3)]) is non-differe...

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  6. Consider the function f(x) = {(a^(2)+e^(x), -oo lt x lt 0),(x+2, 0le x...

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  7. Let f(x) = [(sqrt(1+sin^(2)(x^(2))-cos^(3)(x^(2)))/(x^(3)tanx), if x n...

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  8. Let f(x) = {(cos(x^(3)), -ooltxlt0),(sin(x^(3))-|x^(3)-1|, 0lexltoo):}...

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  9. The sum of all values of x for which the function f(x) = sqrt(|x^(2)-5...

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  10. Let f(x) = [(-1, -3 le x lt 0),(x-1, 0le xle 3):} and g(x) = f(|x|)+|f...

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  11. Let f(x) be a differentiable function satisfying f((x+2y)/3)= (f(x)+2f...

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  12. Let f(x) = {((sin alphax^(2))/x^(2), x ne 0),(3/4+1/(4alpha), x = 0):}...

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  13. Let f(x) = {(a tan^(-1)(1/(x-4)), 0 lexlt4),(pi/2, x= 4),(btan^(-1)(2/...

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  14. Let f(x) = {((1+ax)^(1/x), x lt 0),((root(3)(x+c)-1)/(sqrt(x+1)-1), x ...

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  15. The number of points in (-5,5) where f(x)=[x](x^(3)-x)^(2)) is non-dif...

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  16. If f(x) = cos (x (cos)1/x) and g(x) = (In(sec^(2)x))/(x sin x) are bot...

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  17. Consider , f(x) = {(|(x-x^(3) 1 2),(0 2 3x^(4)),(x^(2) 4x x^(3)-3x^(5)...

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  18. Number of points where f(x)= max {2-|x|, min {x^(2)-1}} is not differe...

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  19. If function f(x) = {(a+bsqrt(2)sinx, 0 le xlt pi/4),(cotx-1, pi/4lexle...

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  20. If f(x) = {((sin^(-1)x-xcos^(-1)x)/x, x gt 0),(ax+b, xle 0):} is conti...

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