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Let p(x) be a real polynomial of least d...

Let `p(x)` be a real polynomial of least degree which has a local maximum at `x=1` and a local minimum at `x=3.` If `p(1)=6a n dp(3)=2,` then `p^(prime)(0)` is_____

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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  2. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  3. The length of the longest interval in which the function 3sinx-4sin^3x...

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  4. If f(x)=e^(1-x) then f(x) is

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  5. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  6. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  7. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

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  8. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  9. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  10. Find the value of 71 - (-25) + 37 - 18 + (-11)

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  11. Find the value of 1^2 + 2^2 + 3^2+.......+10^2

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  12. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

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  13. Find the value of 2 + (-11/9)

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  14. Let p(x) be a real polynomial of least degree which has a local maximu...

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  15. Evaluate int(x+cos x) dx.

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  16. The maximum value of the expression (1)/(sin ^(2) theta + 3 sin thet...

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  17. The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...

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  18. A wire of length 2 units is cut into two parts which are bent respecti...

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  19. If x =-1 and x=2 ar extreme points of f(x) =alpha log|x|+betax^(2)+x ,...

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  20. Let a , b in R be such that the function f given byf(X) = ln |x|+bx^(2...

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