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Consider f(x)=ax^(4)+cx^(2)+dx+e has no ...

Consider `f(x)=ax^(4)+cx^(2)+dx+e` has no point o inflection Then which of the following is/are possible?

A

`agt0,clt0`

B

`alt0,cgt0`

C

`a,clt0`

D

`a,cgt0`

Text Solution

Verified by Experts

The correct Answer is:
3,4
f(x) =`ax^(4)+cx^(2)+dx+e`
`rarr f(x)=12ax^(2)+2c=0`
`rarr x^(2)=(c )/(6a)`
Since the funtion has no point of inflection above equation has no real roots
`rarr c//agt0`
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CENGAGE-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Exercise (Multiple)
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  2. The function (sin(x+a))/(sin(x+b)) has no maxima or minima if b-a=npi...

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  3. Consider f(x)=ax^(4)+cx^(2)+dx+e has no point o inflection Then which ...

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  4. L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/7 Then at x=1/2, whi...

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  5. If A={-3,-2,-1,0,1,2,3} and f : A->B is an onto function defined by f(...

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  6. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

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  7. If f(x)=(sin^2x-1)^("n"),"" then x=pi/2 is a point of local maximum, i...

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  8. For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...

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  10. If f(x)a n dg(x) are two positive and increasing functions, then which...

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  11. An extremum of the function f(x)=(2-x)/picospi(x+3)+1/(pi^2)sinpi(x+3)...

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  12. For the function f(x)=x^4(12(log)e x-7)

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  13. Let f(x)=log(2x-x^2)+sin(pix)/2dot Then which of the following is/are ...

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  14. Which of the following hold(s) good for the function f(x)=2x-3x^(2/3)?...

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  15. For the function f(x)=(e^x)/(1+e^x), which of the following hold good?...

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  16. Which of the following is true about point of extremum x=a of function...

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  17. which of the folloiwng function has point of extremum at x =0?

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  18. Which of the following function/functions has/have point of inflection...

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  19. The funciton f(x)=x^(2)+(lambda)/(x)has a

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  20. The function f(x)=x^(1/3)(x-1) has two inflection points has one poin...

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