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```        let f(x) be aquaratic eqn which is positive for all real x.then
f(x)+f'(x)+f"(x)is
a)>0
b)>=0
c)=0
d)<0```
7 years ago

Askiitians Expert Sahil Arora - IITD
19 Points
```										Dear Rohit
f(x)=ax2 +bx+c
since it is positive for all x
a>0 and D<0==>b2 - 4ac<0
f(x)+f'(x)+f"(x)=ax2 +bx+c+ 2ax+b+2a=ax2 +(2a+b)x+2a+b+c
D=(2a+b)2 -4a(2a+b+c)=b2-4ac-4a2 <0 and a>0
==>always positive
Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation. All the best rohit !!!Regards,Askiitians ExpertsSahil Arora
```
7 years ago
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