Home
Class 12
MATHS
Examine the following functions for maxi...

Examine the following functions for maxima and minima :
`f(x)=3x^(3)-9x^(2)-27x+15`

A

f has maximum value 66

B

f has minimum value 30

C

f has maxima at x=-1

D

f has minima at x=-1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

Examine the following functions for maxima and minima : f(x)=2x^(3)-21x^(2)+36x-20

Examine the following functions for maxima and minima : f(x)=x^(2)e^(x) .

Examine the following functions for maxima and minima : f(x)=x^(2)+(16)/(x^(2))

Examine the following functions for maxima and minima : Show that f(x)=x^(x) is minimum when x=(1)/(e) .

If f(x)=3x^(3)-9x^(2)-27x+15 , then

Prove that the following functions do not have maxima or minima : h(x)=x^(3)+x^(2)+x+1.

Prove that the following functions do not have maxima or minima : f(x)=e^(x)

Examine the following functions for maxima and minima : Find the maximum value of the function f(x)=x-e^(x) .

Find all the points of local maxima and minima of the f(x)=x^(3)-6x^(2)+9x-8

Find the points of maxima and minima f(x)=(5)/(3x^(4)-4x^(3)-36x^(2)+28)