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At x = 0, the function f(x) = |x| is...

At x = 0, the function f(x) = |x| is

A

Continuous but not differentiable

B

Differentiable but not continuous

C

Both continuous and differentiable

D

Neither continuous nor differentiable.

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. The function f(x) = |x| + |x-1| + |x-2| is continuous but not differen...

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  2. The value of 'c' for which Lagrange's Mean value Theorem is applicable...

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  3. At x = 0, the function f(x) = |x| is

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  4. How many of the function f(x) =|x|, g (x)=|x^2| and h (x) = [x]^3 are...

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  5. f(x)={((x^2-4)/(x-2),x!=2),(2k,x=2):} is continuous at x=2 then k=

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  6. If f(x) = x^2+5x+2, then f'(3) is

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  7. The derivative of cos 5x w.r.t x is

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  8. If x=at^2, y = 2at , than dy/dx is

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  9. If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} ...

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  10. If f(x)=logx(logx) then the value of f'(e) is

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  11. If f(x)=log(x){ln(x)} then f'(x) at x=e, is

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  12. If x=ct, y = c/t, find dy/dx at t = 2

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  13. Let f(x) = {:{(ax+3,xle2),(a^2x-1,x>2):}. Then the value of 'a' for wh...

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  14. Let R be the set of all real numbers. Let f: R rarr R be a function s...

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  15. Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(7/2), then the value of 'b' is

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  16. The funtion f(x) = {:{(2x^2-1, if 1 le x le 4),(151-30x, if 4 < x le 5...

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  17. Let f(x) be a differentiable function and f'(4) = 5, then: underset(xr...

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  18. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

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  19. If y=(1+x)(1+x^2)(1+x^4), then dy/dx at x = 1 is

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  20. The value of d/dx{tan^-1(cosx)} for x= 30 is equal to

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