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If f(x) = |sinx|, then...

If `f(x) = |sinx|`, then

A

differentiable everwhere

B

not differentiable at `x=n pin , in I`

C

not diffentiable at `x=0`

D

continous at `x=0`

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The correct Answer is:
A, D
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VK JAISWAL ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. Identify the options having correct statement:

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  2. A twice differentiable function f(x) is denined for all real numbers a...

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  3. If f(x) = |sinx|, then

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  4. Let [] donots the greatest integer function and f (x)= [tan ^(2) x], t...

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  5. Let f :R to R be a function, such that |f(x)|le x ^(4n), n in N AA n i...

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  6. Let f (x) =[x] and g (x) =0 when x is an integer and g (x) =x ^(2) whe...

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  7. let the function f be defined by f (x)= {{:(p+ qx+ x^(2)"," , x lt 2),...

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  8. Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?

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  9. Let f (x)= max (x,x ^(2) x ^(3)) in -2 le x le 2. Then:

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  10. If f (x) be a differentiable function satisfying f (y) f ((x)/(y))=f (...

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  11. Let f(x) =(x^(2)-3x+ 2) (x ^(2) + 3x +2) and alpha, beta, gamma satisf...

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  12. let the function f be defined by f (x)= {{:(p+ qx+ x^(2)"," , x lt 2),...

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  13. Let y=e^x s in x^3+(t a n x)^xdotF in d(dy)/(dx)dot

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  14. Let f(x)=x+(1-x)x^3+(1-x)(1-x^2)x^3+.........+(1-x)(1-x^2)........(1-x...

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  15. Let f (x)= [{:(x ^(2)+a,0 le x lt 1),( 2x+b,1le x le 2):}and g (x)=[{:...

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  16. If f (x)= [{:((sin [x^(2)]pi)/(x ^(2)-3x+8)+ax ^(3)+b,,, 0 le x le 1),...

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  17. If f (x)= {{:(1+x, 0 le x le 2),( 3x-2, 2 lt x le 3):}, then f (f(x)) ...

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  18. Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f'(x) ...

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  19. If f(x)={|x|-3 x < 1|x-2|+a x >= 1 & g(x)={2-|x| x < 2 sgn(x)-b x >= 2...

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  20. Let f (x) be a continous function in [-1,1] such that f (x)= [{:((ln...

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