Home
Class 12
MATHS
For the function f(x) = x^(4) (12 ln x –...

For the function `f(x) = x^(4) (12 ln x – 7)`

A

the point `(1, –7)` is the point of inflection

B

`x=e^(1//3)` is the point of minima

C

the graph is concave downwards in (0, 1)

D

the graph is concave upwards in `(1, oo)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 3 ( Subjective )|26 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 3 ( Subjective ) COMPREHENSION|4 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) BASED ON ROLLE’S THEOREM, LMVT|2 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=log x

The function f(x)=x log x

For the function f(x)=x^(4)(12log_(e)x-7), the point (1,7) is the point of inflection.x=e^((1)/(3)) is the point of minima the graph is concave downwards in (0,1) the graph is concave upwards in (1,oo)

The minimum value of the function f(x) = x log x is

The function f(x) = 3x^(4) + 4x^(3) – 12x^(2) – 7 is

Derivative of the function f(x) = log_(5) (log_(8)x), where x > 7 is

Domain of the function f(x)=(2)/(x^(2)-4)+ln(x^(3)-x) is

Find the value of c in Lagrange's mean value theorem for the function f (x) = log _(e) x on [1,2].

Derivative of the function f(x) = log_5 (log_7(x) ) and x gt 7 is :