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Let f(x) be a cubic polynomial defined b...

Let `f(x)` be a cubic polynomial defined by
`f(x)=x^(3)/(3)+(a-3)x^(2)+x-13.` Then the sum of all possible values(s) of `a` for which `f(x)` has negative point of local minimum in the interval [`1,5]` is

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
  1. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  2. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  3. Solve , x/3 - x/8 = 5/12

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  4. Find the value of x , (x - 3)/5 + (x - 4)/7 = 6 - (2x - 1)/(35)

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  5. Solve (2x +3)/3 = (7x + 45)/(15)

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  6. Solve , (x^2 - (x + 1)(x + 2))/(5x + 1) = 6

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  7. Prove that (7! - 5!)/(5!) = 41

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  8. If a function (continuos and twice differentiable) is always concave u...

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  9. Solve 3x + 2(x + 2) = 20 - (2x - 5)

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  10. If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots sa...

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  11. Match the Statements of Column I with values of Column II.

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  12. Match the Statements of Column I with values of Column II.

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  13. The set of all points where f(x) is increasing is (a,b)cup(c,oo). Find...

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  14. If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1...

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  15. Let f(x) be a cubic polynomial defined by f(x)=x^(3)/(3)+(a-3)x^(2)+...

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  16. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

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  17. Let f(x)=sin^(-1)((2phi(x))/(1+phi^(2)(x))). Find the interval in whic...

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  18. Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

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  19. The interval to which b may belong so that the functions. f(x)=(1-sq...

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  20. One corner of a long rectangular sheet of paper of width 1 unit is fol...

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