Home
Class 11
MATHS
The function y=x^3-3x^2+6x-17...

The function `y=x^3-3x^2+6x-17`

A

Increasing every where

B

Decreasing every where

C

Increase for positive 'x' and decrease for negative 'x'

D

Increase for negative 'x' and decrease for positive x

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-II|88 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise SYNOPSIS|22 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

Similar Questions

Explore conceptually related problems

At x=1 the function y=x^4+3x^3-2x^2-9x+6 has

Find all the points of (local) maxima and (local) minima of the function x^3-6x^2+9x+15

Knowledge Check

  • The function y=2x^3-3x^2-12x+8 has minimum at x=

    A
    `-1`
    B
    2
    C
    `-1//2`
    D
    `3//2`

  • The functions y=x^4-6x^2+8x+15 has minimum at x=A ,y=x(x-1)(x-2) has maximum at x=B , y=2x^3-3x^2-12x+5 has minimum at x=C. The ascending order of A,B,C is

    A
    A,B,C
    B
    B,C,A
    C
    C,A,B
    D
    A,C,B

  • The function y=x^4-6x^2+8x+11 has a minimum at x=

    A
    1
    B
    `-2`
    C
    3
    D
    4

    • Similar Questions

    Explore conceptually related problems

    Find Deltay and dy for the following functions for the values of x and Deltax which are shown against each of the functions. y=x^(2)+3x+6, x=10, Deltax=0.01 .

    Find the points at which the functions f(x) = x^(3) - 6x^(2) + 9x + 15

    Express the function f(x) =2x^(4) - 3x^(2) + 6x+7-4 sin x as sum of an even and an odd function.

    Find the derivative dy/dx of the function y=((1-2x)^(2//3)(1+3x)^(-3//4))/((1-6x)^(5//6)(1+7x)^(-6//7)).

    If the function f(x)=Kx^3-9x^2+6x+3 is increasing Aax in R then K in

    Home
    Profile