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Number of points where the function f(x)...

Number of points where the function `f(x)=(x^2-1)|x^2-x-2| + sin(|x|)` is not differentiable, is:

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Single Option Correct Type Questions)
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  2. Let f be a differentiable function on the open interval(a, b). Which o...

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  3. Number of points where the function f(x)=(x^2-1)|x^2-x-2| + sin(|x|) i...

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  4. Consider function f: R - {-1,1}-> R. f(x)=x/[1-|x|] Then the incorrect...

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  9. If f(x) = {{:((1)/(e^(1//x))",",x ne 0),(0",",x = 0):} then

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  11. The function g(x) = {{:(x+b",",x lt 0),(cos x",",x ge 0):} can be made...

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  12. The graph of function f contains the point P(1, 2) and Q(s, r). The e...

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  13. Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx...

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  14. If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0, then

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  15. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

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  16. If x dy = y (dx + y dy), y > 0 and y (1) = 1, then y (−3) is equal t...

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  18. Let [x] be the greatest integer function f(x)=(sin(1/4(pi[x]))/([x])) ...

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  19. If f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -1),(sin(pi(x + a))",","f...

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  20. If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

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