Home
Class 12
MATHS
In the interval (-1, 1), the function f...

In the interval (-1, 1), the function ` f(x) = x^(2) - x + 4` is :

A

increasing

B

decreasing

C

neither increasing nor decreasing

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6i (multiple Choice Questions)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6.1|18 Videos

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6g|21 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

Find the intervals in which the function f(x)=log(1+x)-(2x)/(2+x) is increasing or decreasing.

Verify the Rolle's theorem for the function f(x) = x^(2) - 3x+2 on the interval [1,2].

Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x^(2))) is increasing or decreasing.

The interval in which the function f(x)=(4x^(2)+1)/(x) is decreasing is

On the interval I=[-2,2] , the function f(x)={{:(,(x+1)e^(-((1)/(|x|)+(1)/(x))),x ne 0),(,0,x=0):}

What is / are the critical points (s) of the function f(x) = x^(2//3) (5-2x) on the interval [-1,2]?

Using Lagrange's theorem , find the value of c for the following functions : (i) x^(3) - 3x^(2) + 2x in the interval [0,1/2]. (ii) f(x) = 2x^(2) - 10x + 1 in the interval [2,7]. (iii) f(x) = (x-4) (x-6) in the interval [4,10]. (iv) f(x) = sqrt(x-1) in the interval [1,3]. (v) f(x) = 2x^(2) + 3x + 4 in the interval [1,2].