Home
Class 12
MATHS
Find the critical (stationary ) points o...

Find the critical (stationary ) points of the function f(X)=`(x^(5))/(20)-(x^(4))/(12)`+5Name these points .Also find the point of inflection

A

no local extremum one point of inflection.

B

two local maximum, one local minimum, two point of inflection

C

one local maximum, one local minimum, one point of inflection.

D

one local maximum, one local minimum, two point of inflection.

Text Solution

Verified by Experts

The correct Answer is:
C
`f(x)=(x^(5))/(20)-(x^(4))/(12)+5`
`f.(x)=(x^(4))/(4)-(x^(3))/(3)=x^(3)((x)/(4)-(1)/(3))`

`f..(x)=x^(3)-x^(2)=x^(2)(x-1)`
x=1 point of inflection
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos

  • MOCK TEST 10

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

Find the critical points(s) and stationary points (s) of the function f(x)=(x-2)^(2//3)(2x+1)

Determine all the critical points for the function : f(x)=xe^(x^2)

Determine all the critical points for the function f(x)=6x^(5)+33x^(4)-30x^(3)+100

Find the points of local maxima and minima of the function f(x)=x^(2)-4x .

Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

Find the critical points of f(x)=x^(2//3)(2x-1)

Find the points of local maxima and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

Find the points of discontinuity of the function: f(x)=1/(2sinx-1)

Number of critical point of the function f(X) =x+ sqrt(|x|) is _______.

Draw the graph of y=sin^(-1)("log"_(e)x) . Also find the point of inflection.