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If f(x)=max{sinx ,sin^(-1)(cosx)}, then ...

If `f(x)=max{sinx ,sin^(-1)(cosx)},` then `f` is differentiable everywhere `f` is always continuous `f` is discontinuous at `x=(npi)/2,n in I` `f` is not differentiable everywhere

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If f(x)=max{sinx ,sin^(-1)(cosx)}, then (a) f is differentiable everywhere (b) f is always continuous (c) f is discontinuous at x=(npi)/2,n in I (d) f is not differentiable everywhere

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Let f(x)=|sinx| . Then, (a) f(x) is everywhere differentiable. (b) f(x) is everywhere continuous but not differentiable at x=n\ pi,\ n in Z (c) f(x) is everywhere continuous but not differentiable at x=(2n+1)pi/2 , n in Z . (d) none of these

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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