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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:
B
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VK JAISWAL-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 defined for all real numbers an...

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

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  4. Let [.] represent the greatest integer function and f (x)=[tan^2 x] th...

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  5. Let f be a differentiable function satisfying f'(x)=f' (-x) AA x in R....

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

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  8. Let f:RtoR is given by f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):} t...

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

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

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  11. Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA, x...

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

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

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  14. If y =e ^(x sin (x ^(3)))+(tan x)^(x) then (dy)/(dx) may be equal to:

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

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

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

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  20. 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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