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)=cos|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)

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:R rarr R satisfies that equation f(x+y)=f(x)f(y) for all x,y in R ,f(x)!=0. suppose that the function f(x) is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

A function f:RtoR is defined as f(x)=x^(2)" for "xge0,f(x)=-x" for "xlt0 . Consider the following statements in respect of the above function : 1. The function is continuous at x=0. 2. The function is differentiable at x=0. Which of the above statements is /are correct ?

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