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Consider the polynomial function f(x)=x^...

Consider the polynomial function `f(x)=x^7/7-x^6/6+x^5/5-x^4/4+x^3/3-x^2/2+x` Statement-1: The equation `f(x) = 0` can not have two or more roots.Statement-2: Rolles theorem is not applicable for `y=f(x)` on any interval `[a, b]` where `a,b in R`

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
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  11. On which of the following intervals is the function f given by f(x)=x...

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  13. Let f(x)=a(x-x1)(x-x2)\ w h e r e\ a ,\ x1a n d\ x2\ are real n...

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  14. Let f be a continuous function on R and satisfies f(x)=e^x + int0^1 e^...

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  15. Consider the function f: R->\ R fined as f\ (x)\ =x\ +\ s in\ x . ...

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  20. If b > a, find the minimum value of |(x-a)^3+|(x-b)^3|, x in R

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