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If f(x)={:{(-1-x,,,x le-1),(|x^2-1|,,,-1...

If `f(x)={:{(-1-x,,,x le-1),(|x^2-1|,,,-1 lt xle0),(k(-x+1),,,0 lt x le1),(|x-1|,,,x gt1):}`
then find the value of k so that f(x) becomes continuous at x=0. Hence, find all the points where the functions is non-differentiable.

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MOTION-DIFFERENTIABILITY-Exercise - 4 | Level-I Previous Year | JEE Main
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  10. Let f:RtoR and g:RtoR be respectively given by f(x)=|x|+1 and g(x)=x^(...

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  11. Let g: R -> R be a differentiable function with g(0) = 0,g'(1)=0,g'(1)...

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  12. Let f:R to R and h:R to R be differentiable functions such that f(x)=x...

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  13. Let a, b in RR and f : RR rarr RR be defined by f(x) = a cos(|x^3-x|) ...

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  14. Let f:[-1/2,2] rarr R and g:[-1/2,2] rarr R be functions defined by f(...

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  15. Let f: R->R be a differentiable function with f(0)=1 and satisfy...

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  16. Let f:(0,\ pi)->R be a twice differentiable function such that (lim...

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