Which of the function is non-differential at `x=0?` `f(x)="cos"|x|`

Which of the function is non-differential at x=0?f(x)=x|x|

Which of the function is non-differential at x=0?f(x)=|x^(3)|

Which of the following function is not differentiable at x=0?f(x)=min{x,sin x}f(x)={[0,x>=0x^(2),x<0( c) f(x)=x^(2)sgn(x)

Which of the following functions is differentiable at x=0?cos(|x|)+|x|

Show that the function f(x)=x^3/2 is not differentiable at x=0.

A function f : R rarr R satisfies the equation f(x + y) = f(x) . f(y) for all, f(x) ne 0 . Suppose that the function is differentiable at x = 0 and f'(0) = 2. Then,

A function f RrarrR is defined as f(x)=x^(2) for xge0 and f(x)=-x for xlt0 consider the following statements in respect to the above function 1. the function is continuous at x = 0. 2. the function is differentiable at x = 0 which of the above function is/are continuous?

f:(0,oo)rArr R f(x)= max(x^(2),|x|) then the number of points where function is non- differentiable,is

Consider the following statements: 1. The function f(x)=|x| is not differentiable at x=1. 2. The function f(x)=e^(x) is not differentiable at x=0. Which of the above statements is/are correct ?