i need help in Differentaiation but by using definition exampel 6.x i need steps
This is not a monotonic smooth function. If f(x)=I6xI, then you have to distinguish two domains: x< 0 when
f(x) =- 6x, and x > 0 when f(x) = 6x.
Thus, f'(x) = -6 for x<0 and f'(x) = 6 for x > 0
The derivative f'(x) is not a continuous function because there is no derivative at x=0
(the graph of f(x) =I6xI is broken at x = 0).