Home
Class 12
MATHS
The function f:[0, 2]to R defined by f(x...

The function `f:[0, 2]to` R defined by `f(x)=x^(3)-3x` is increasing in which of the following intervals ?

A

`(1,2)`

B

`(0,1)`

C

`(0,2)`

D

`((1)/(2),(3)/(2))`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The function f:[0,3]rarr[1,29] , defined by f(x)=2x^3-15x^2+36x+1 is

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

The function f(x)= 2x^(3)-15x^(2) +36x + 1 is increasing in the interval-

A function f:R to R is defined by f(x)=(x-1)(x-2) . Which one of the following is correct in respect of the function?

Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R . Then which of the following statement(s) is/are true?

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is