Home
Class 12
MATHS
Find the intervals in which the followin...

Find the intervals in which the following functions is increasing or decreasing.
`f(x) = (3)/(2) x^(4) - 4x^(3) - 45x^(2) + 51`

Text Solution

Verified by Experts

The correct Answer is:
Increasing in `(-3, 0) uu (5, oo)` and decreasing in `(-oo, -3) uu (0, 5)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (VERY SHORT ANSWER TYPE QUESTIONS)|7 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )|17 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - III (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the following functions is increasing or decreasing. f(x) = 3x^(4) - 4x^(3) - 12x^(2) + 5

Find the intervals in which the following functions is increasing of decreasing. f(x) = (3)/(10)x^(4) - (4)/(5) x^(3) - 3x^(2) + (36x)/(5) + 11

Find the intervals in which the following functions is increasing or decreasing. f(x) = - 2x^(3) - 9x^(2) - 12x + 1

Find the interval(s) in which the following functions are (i) increasing (ii) decreasing f(x) = (x + 2) e^(-x)

Find the intervals in which the following functions is increasing or decreasing. f(x) = sin x + cos x, 0 le x le 2pi

Find the intervals in which the function y=(Inx)/(x) is increasing and decreasing.

Find the intervals in which the following functions is increasing of decreasing. f(x) = sin^(4)x + cos^(4)x, 0 le x le (pi)/(2)

Find the interval(s) in which the following functions are (i) increasing (ii) decreasing f(x) = log (1 + x) - (x)/(1 + x), x ne - 1