Home
Class 12
MATHS
Let f:R->R be defined as f(x)=|x|+|x^2-1...

Let `f:R->R` be defined as `f(x)=|x|+|x^2-1|dot` The total number of points at which `f` attains either a local maximum or a local minimum is_______

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

Let f: R->R be defined as f(x)=x^2+1 . Find: f^(-1)(10)

Let f: R->R be defined by f(x)=x^4 , write f^(-1)(1) .

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Let f:R->R be a function defined by f(x)=x^2-(x^2)/(1+x^2) . Then:

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; and 6x+5x^2,x >0 Then at x=0,f(x) (a) has a local maximum (b) has a local minimum (c) is discontinuous (d) none of these