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

Find the intervals in which the function f given by `f(x) = 4x^(3) - 6x^(2) - 72x + 30` is increasing and decreasing.

Text Solution

Verified by Experts

The correct Answer is:
f(x) is increasing in `(-oo, -2) uu (3, oo)` and decreasing in (-2, 3)
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (VERY SHORT ANSWER TYPE QUESTIONS )|4 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise QUESTION FOR PRACTICE PART - I (SHORT ANSWER TYPE QUESTIONS )|4 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 function given by f(x) = sin 3x, x in [0, (pi)/(2)] is (i) increasing (ii) decreasing

Determine the interval in which the function f(x) = 2x^(3) - 15x^(2) + 36 x + 1 is strictly increasing and strictly decreasing.

Prove that the function given by f(x) = x^3 – 3x^2 + 3x – 100 is increasing in R.

Find the intervals in which the function f(x) = 2x^3 + 9x^2 + 12x + 20 is increasing and decreasing.

Find the interval on which the function f(x)= x^x decreases.

Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is strictly increasing.

Find the intervals in which the function f given by f(x)=sinx+cosx, 0lexle2pi is strictly increasing or strictly decreasing.