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The maximum slope of the curve y=-x^3+3x...

The maximum slope of the curve `y=-x^3+3x^2+9x-27` is

A

0

B

12

C

16

D

32

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
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  2. Find minimum value of px+qy where p>0, q>0, x>0, y>0 when xy=r,^2 with...

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  3. The maximum slope of the curve y=-x^3+3x^2+9x-27 is

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  4. If (x+c)/(1+x^2) where c is a constant , then when y is stationary , x...

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  5. N Characters of information are held on magnetic tape, in batches of x...

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  6. if Agt0,Bgt0 and A+B=pi/3 then the maximum value of tanA.tanB is (A) 1...

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  7. The largest value of 2x^(3)-3x^(2)-12x+5 for -2 le x le x2 occurs when

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  8. The first and second order derivatives of a function f(x) exit at all ...

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  9. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

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  10. Let f(x) =cosx sin2x. Then , min (f(x):-pilexlepi) is

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  11. If f(x)=sin^6x+cos^6x , then which one of the following is false

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  12. The function f(x)=asinx+1/3 sin3x has maximum value at x=pi//3 . The v...

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  13. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

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  14. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

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  15. The points of extremum of the function phi(x)=int(1)^(x)e^(-t^2//2)(...

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  16. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

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

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  18. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

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  19. The minimum value of (x-a)(x-b) is

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  20. The attitude of a right circular cone of minimum volume circumscired a...

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