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Mohit Mittal Grade: 12
        


f(x) = 3 k x^2   -   18 x   +   9   >   0


for wat values of x, the given function is increasing ??


how to find ??


plz explain in detail.....


6 years ago

Answers : (1)

Anil Pannikar AskiitiansExpert-IITB
85 Points
										

Dear Mohit,


 


for increasing func.    dy/dx > 0


6kx - 18 > 0


x > 3/k


For a func to be always positive a > 0 and D < 0   ( for quadratic func. )


so,  3k > 0 and 324 - 4*3k*9 < 0


k > 3


So,  x > 3/k  (where k > 3 ) for the given func. to be always increasing.


 


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Askiitians Expert


Anil Pannikar


IIT Bombay

6 years ago
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