Home
Class 12
MATHS
Let f(x)=x^(3)-9x^(2)+30x+5 be a differ...

Let `f(x)=x^(3)-9x^(2)+30x+5` be a differentiable function of x , then -

A

f(x) is minimum at x =3

B

minimum value of f(x) is 8

C

minimum value of f(x) is greater than its maximum value

D

f(x) possesses neither a maximum nor a minimum .

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Very Short Answer Type Questions|20 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Short Answer Type Questions|42 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

If y = f(x) is a differentiable function of x. Then-

Let f(x) be a differentiable function symmetric about x=2 , then the value of int_(0)^(4)cos(pix)f'(x)dx is equal to________.

If f(x) = x^(3) - 6x^(2) + 9x +3 be a decreasing function, then x lies in-

If f(x)= kx^(3) - 9x^(2) + 9x + 3 is an increasing function then-

Let f(x) be a differentiable function and f'(4)=5 . Then lim_(x to 2) (f(4) -f(x^(2)))/(x-2) equals

Let f(x) be a differentiable function and f'(4)=5 . Then lim_(xrarr2)(f(4)-f(x^2))/(x-2) equals

Let f(x) be a differentiable function and f'(4)=5 . Then underset(x to2)lim(f(4)-f(x^(2)))/(2(x-2)) equals-

Let f(x) be a twice differentiable function for all real values of x and satisfies f(1)=1,f(2)=4,f(3)=9. Then which of the following is definitely true? (a). f''(x)=2AAx in (1,3) (b) f''(x)= 5 for some x in (2,3) (c) f''(x)=3AAx in (2,3) (d) f''(x)=2 for some x in (1,3)

The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a decreasing function of x, is-

Let f(x) be a differentiable function in [2,7] . If f(2)=3 and f'(x)le5 for all x in (2, 7), then the maximum possible value of f(x) at x = 7 is-