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Let f, g are differentiable function su...

Let `f, g` are differentiable function such that `g(x)=f(x)-x` is strictly increasing function, then the function `F(x)=f(x)-x+x^(3)` is
(A) strictly increasing `AA` x in R
(B) strictly decreasing `AA` x in R
(C) strictly decreasing on `(-oo,(1)/(sqrt(3)))` and strictly increasing on `((1)/(sqrt(3)),oo)`
(D) strictly increasing on `(-oo,(1)/(sqrt(3)))` and strictly decreasing on `((1)/(sqrt(3)),oo)`

Answer

Step by step text solution for Let f, g are differentiable function such that g(x)=f(x)-x is strictly increasing function, then the function F(x)=f(x)-x+x^(3) is (A) strictly increasing AA x in R (B) strictly decreasing AA x in R (C) strictly decreasing on (-oo,(1)/(sqrt(3))) and strictly increasing on ((1)/(sqrt(3)),oo) (D) strictly increasing on (-oo,(1)/(sqrt(3))) and strictly decreasing on ((1)/(sqrt(3)),oo) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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  • f(x) is a strictly increasing function, if f'(x) is :

    A
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    B
    negative
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    D
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