Let `f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1` Then the number of critical points on the graph of the function is___

Let f(x)={{:(-|x-2|, ,x le 3 ),(x^(2)-2x-4,, x gt 3 ):} Then the number of critical points on the graph of the function is

Number of critical point of the function f(X) =x+ sqrt(|x|) is _______.

Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of critical points of f(x) . Also identify which of these critical points are points of Maxima // Minima.

The function y=f(x) is graphed in the standard (x, y) coordinate plane below. The points on the graph of the function y = 3 + f(x-1) can be obtained from the points on y = f(x) by a shift of:

Let f(x)=[x^3 - 3] , where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7

Draw a graph of the function f(x) = cos^(-1) (4x^(3)-3x), x in [-1,1] and find the ara enclosed between the graph of the function and the x-axis varies from 0 to 1.

Find the critical points of f(x)=x^(2//3)(2x-1)

Let f be a composite function.of x defined by f(u)=(1)/(u^(3)-6u^(2)+11u-6) where u(x)=(1)/(x) .Then the number of points x where f is discontinuous is

Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1} Then draw the graph of the function y=f(x), y=f(|x|) and y=|f(x)|.

Find the points of discontinuity, if any, of the following function: f(x)={|x|+3 ifx 3