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Find the maximum slope of the curve y...

Find the maximum slope of the curve `y=-x^3+3x^2+2x-27` .

A

`-165//8`

B

`-27`

C

`5`

D

None of these

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The correct Answer is:
C
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MOTION-MAXIMA AND MINIMA -EXERCISE -2 (LEVEL- I)
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  2. A triangular park is enclosed on two sides of a fence and on the third...

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  3. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

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  4. If x1 and x2 are abscissae of two points on the curve f(x) = x - x^2 i...

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  5. The maximum value of f(x) = 2bx^2 - x^4 -3b is g(b), where b gt 0. If ...

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

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  7. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

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  8. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

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  9. Which of the following point lying on the line x + 2y = 5 is at minimu...

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  10. The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2)...

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  11. The point on the line y = x such that the sum of the squares of its di...

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  12. if the complete set of values (s) of 'a' for which the function f (x)...

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  13. If the point (1,3) serves as the point of inflection of the curve y =...

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  14. The equation x^(3) - 3x + [a] = 0 , will have three real and distinct ...

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  15. Solution(s) of the equation. 3x^2-2x^3 = log2 (x^2 + 1) - log2 x is/ar...

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  16. Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...

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  17. If the function f(x) = x^3-9x^2 +24x + c has three real and distinct r...

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  18. A and B are the points (2, 0) and (0, 2) respectively. The coordinates...

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  19. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

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  20. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

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