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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

1

B

12

C

6

D

2

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The gradient of the curve y=x^3-3x^2-2x+7 at (1,3) is

    A
    3
    B
    -4
    C
    -5
    D
    7

  • A : The gradiant of the curve y=x^3-3x^2-2x+7 at (1,3) is -5. R : The gradiant of the curve y=f(x) "at" P "is" ((dy)/(dx))_p

    A
    A and R are true and R is the correct explanation of A
    B
    A and R are true and R is not correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • The area bounded by the curve y = x^3 -3x^2 + 2x and the X - axis si (in square units)

    A
    `(1)/(2)`
    B
    `(5)/(2)`
    C
    1
    D
    4

    • Similar Questions

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    Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.

    Find the slope of the tangent to the curve y=x^(3)-3x+2 at the point whose x coordinate is 3 .

    The slope of the normal to the curve y = 2x ^2 + 3 sin x at x = 0 is

    The equation of the normal to the curve y=2x^3+6x^2-9 where the curve crosses the y-axis is

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