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

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

A

both f(x) and g(x) are non-differentiable at 5 points

B

f(x) is not differentiable at 5 points whether g(x) is non-differentiable at 7 points

C

number of points of non-differentiability for f(x) and g(x) are 7 and 5 points, respectively

D

both f(x) and g(x) are non-differentiable at 3 and 5 points, respectively

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The correct Answer is:
B
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Single Option Correct Type Questions)
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  11. 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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  12. Let f(x) = max. {|x^2 - 2 |x||,|x|} and g(x) = min. {|x^2 - 2|x||, |x|...

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  14. Let f(x) be continuous and differentiable function for all reals and f...

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

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

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  17. If both f(x) & g(x) are differentiable functions at x=x0then the fun...

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  18. Number of points of non-differentiability of the function g(x) = [x^2...

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  19. If f(x) = ({x}g(x))/({x}g(x)) is a periodic function with period (1)/(...

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