Home
Class 12
MATHS
Test the function f(x) = x^(5) for extre...

Test the function `f(x) = x^(5)` for extreme values.

Text Solution

Verified by Experts

The correct Answer is:
`f^((v)) (0) = 120 ne 0`
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

Test the function y = x^(8) + 6 for extreme values.

Test the function y = (x - 5)^5( x + 2)^2 for extreme values.

Write the set of points, where the function f(x) = x^(3) has relative (local) extreme.

Find the value of c for which the Rolle.s theorem is applicable for the function f(x)=x^(2)-5x+4 on the interval [1,4]

Find the extreme points of the function f(x) = x^(3) - 6x^(2) + 9x - 8 . Specify if the extremum is a maximum or minimum. Also, find the extreme values.

For which value of x, the function f(x) = 5-6x is increasing.

The function f(x) = {[6.5, for x le 0],[2a + x, forx>0]:} continuous at x = 0. Then what is value of a ?

Find the points of local maxima, local minima and the points of inflection of the function f(x) = x^(5) - 5x^(4) + 5x^(3) - 1 . Also, find the corresponding local maximum and local minimum values.