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Question Number 37079 by rahul 19 last updated on 08/Jun/18

Answered by ajfour last updated on 09/Jun/18

$$f{}^{″}\left(x\right)-3f{}^{\prime }\left(x\right)>3$$$$\Rightarrow f{}^{″}\left(0\right)>0$$$$forx>0f{}^{\prime }\left(x\right)>-1....\left(i\right)$$$$\frac{d}{dx}[f\left(x\right)+x]=f{}^{\prime }\left(x\right)+1$$$$\Rightarrow \frac{d[f\left(x\right)+x]}{dx}>0\left(using\left(i\right)\right)$$$$\Rightarrow increasingfunctionofx.$$$$Option\left(b\right).$$

Commented by rahul 19 last updated on 08/Jun/18

Thank you sir ����

Commented by rahul 19 last updated on 08/Jun/18

typo in 1st line : it's 3f'(x) ��

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