Home
Class 12
MATHS
Prove that the function f(x)=x^3-3x^2+3x...

Prove that the function `f(x)=x^3-3x^2+3x-100` is increasing on `R` .

Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Exercise 15 : Short Answer Type Questions|22 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Exercise 15 : Long Answer Type Questions|16 Videos

  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Exercise 15 : MCQ|4 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x)=x^(3)-6x^(2)+12 x-18 is increasing for all x in RR .

Prove that the function f(x)=x^(3)-x^(2) is neither increasing nor decreasing in -2/3 lt x lt 2/3 .

The function f(x)=x^(3) +3x^(2) +4x+7 is increasing for-

Show that the function given by f (x) = 3x + 17 is increasing on R.

Show that the function given by f(x) = 7x – 3 is increasing on R.

Show that the function given by f (x) = e ^(2x) is increasing on R.

If x>1/2 , show that the function f(x) = x(4x^2 - 3) is steadily increasing.

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

If x gt 1/2 , show that the function f(x) =x(4x^(2)-3) is steadily increasing.

Show that the function (x^(3)-3x^(2)+4x) increases with x.