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Is |sinx| differentiable? What about cos...

Is `|sinx|` differentiable? What about `cos|x|?`

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Verified by Experts

Given
`|sinx|` is differentiable
As,`|cosx|=cosx`
For all `x in R`
Also we know that cosx is differentiable at all real points
Therefore,`|cosx|` is differentiable everywhere
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RD SHARMA-DIFFERENTIABILITY-Solved Examples And Exercises
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  13. If f(x)=a|sinx|+be^|x|+c|x|^3 and if f(x) is differentiable at x=0 the...

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  14. If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)++(x^2)/((1+x^2)^n)+ , then...

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  15. If f(x)=|(log)2x|, then f(1^+)=1 (b) f(1^-)=-1 f(1)=1 (c) f^(...

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  16. If f(x) ={(|x+2|)/tan^-1(x+2), x != -2 and 2, x=-2 then f(x) is cont...

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  17. Let f(x)=(x+|x|)|x|dot then, for all x . f is continuous (b) f is diff...

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  18. The function f(x)=e^(-|x|) is continuous everywhere but not differenti...

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  19. The function f(x)=|cosx| is everywhere continuous and differentiable e...

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  20. Discuss the continuity of the function f(x)={2x-1 if x<2 ...

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