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If f(x)=x^(3)+x^(2)+kx+4 is always incr...

If ` f(x)=x^(3)+x^(2)+kx+4` is always increasing then least positive integral value of k is

A

4

B

3

C

2

D

1

Text Solution

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The correct Answer is:
D
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AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. Which of the following statement is true for the function f(x)={{:(sqr...

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  2. The function f(x)=x^(3)-3x is

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  3. If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive int...

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  4. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

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  5. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

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  6. Maximum area of a reactangle which can be inscribed in a circle of a...

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  7. If atmosphere pressure at a height of h units is given by the function...

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  8. The radius of cylinder of maximum volumne which can be inscribed in a...

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  9. Let f(x)={{:(-|x-2|, ,x le 3 ),(x^(2)-2x-4,, x gt 3 ):} Then the n...

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  10. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

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  11. Consider the function f(x)= x cos x - sin x , then identify the statem...

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  12. If x=2t-3t^(2) and y=6t^(3) then (dy)/(dx) at point (-1,6) is

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

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  14. The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , whe...

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  15. Let h be a twice continuously differentiable positive function on an o...

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  16. The least area of a circle circumscribing any right triangle of area S...

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  17. If f(x)=x(1-x)^(3) then which of following is true ?

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  18. A function y=f(x) is given by x=1/(1+t^2) and y=1/(t(1+t^2)) for all t...

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  19. The point on the curve y^(2)=x where tangent makes 45^(@) angle with x...

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  20. The radius of a right circular cylinder increases at a constant rate ....

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