Graph the function y=x^2/3. Directly underneath draw the function y=m(x).
a) Where is the function non differentiable?
b) What type of discontinuity do you see?

Question

Graph the function y=x^2/3. Directly underneath draw the function y=m(x). 
a) Where is the function non differentiable? 
b) What type of discontinuity do you see?

mehek14 · Answer

use http://www.desmos.com/calculator to graph

anonymous · Answer

How do i know where the function is non differentiable?

mehek14 · Answer

when x = 0
the shape changes or goes in a different path

rizags · Answer

Differentiation can only be applied to functions that look like straight lines in the vicinity of the point at which you want to differentiate. 
After all, differentiating is finding the slope of the line it looks like (the tangent line to the function we are considering) No tangent line means no derivative.
Also when the tangent line is straight vertical the derivative would be infinite and that is no good either.

freckles · Answer

you find the derivative

freckles · Answer

or that is one way to do it anyways

rizags · Answer

there are about 7 different criteria for non-differntiable functions

mehek14 · Answer

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