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Let f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(...

Let `f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(2) lt c `. Then f(x)-

A

has a local maximum

B

has a local minimum

C

is strictly decreasing

D

is strictly increasing

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
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  4. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

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  5. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

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  6. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

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  7. The function y=a(1- cos x) is maximum when x is-

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  8. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

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  9. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

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  10. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

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  11. The length of the longest interval in which the function 3 sin x - 4 s...

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  12. The real number x when added to its inverse gives the minimum value of...

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  13. If minimum value of f(x)=x^(2)+2bx +2c^(2) is greater than maximum va...

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  14. Let f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(2) lt c . Then f(x)-

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  15. If v=(4)/(3)pir^(3), then the rate (in cubic unit ) at which v is incr...

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  16. If the time rate of change of the radius of a sphere is (1)/(2pi), the...

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  17. The length of a side of a cube is 10 cm, if an error of 0.05 cm is mad...

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  18. Let y=2x^(2)-3x +2, if x changes to 3.02 from 3 , then the approximate...

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  19. Objective function of a linear programming problem is a-

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  20. If the rate of change of y with respect to x is 4 and y is changing at...

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