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If f(x)=k x^3-9x^2+9x+3 monotonically in...

If `f(x)=k x^3-9x^2+9x+3` monotonically increasing in `R ,` then `k<3` (b) `klt=2` `kgeq3` (d) none of these

A

`k lt 3`

B

`k le 3`

C

`k lt 3`

D

`k ge 3`

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  2. The function f(x)=x^(1//x) is increasing in the interval

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  3. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  4. The function f(x)=(log(pi+x))/(log(e+x))s is

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  5. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

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  6. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

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  7. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

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  8. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  9. Find the maximum and minimum values of f , if any, of the function gi...

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  10. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

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  11. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

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  12. Show that the right circular cylinder, open at the top, and of give...

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  13. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

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  14. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

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  15. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

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  16. A cylindrical gas container is closed at the top and open at the ...

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  17. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

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  18. The radius of a right circular cylinder increases at the rate of 0.1 ...

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