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If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) f...

If `f(a-x)=f(a+x) " and " f(b-x)=f(b+x)` for all real x, where `a, b (a gt b gt 0)` are constants, then prove that `f(x)` is a periodic function.

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A DAS GUPTA-Function-Exercise
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  11. Let f(x) = log(x + sqrt(x^2 +1)) , then f'(x) equals.

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  12. If f(x)=log((1+x)/(1-x)), "then f "((2x)/(1+x^(2))) is equal to

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  16. The function f(x)=x[x] , is

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  17. If f(x)=(1-x)/(1+x),x>0 then the least value of f(f(x))+f{f(1/x)} is

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  18. If f(x)=1/(x^2+x+1), then the function f :R rarr R is

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  20. If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a g...

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