Understanding the Difference Between Differentiable and Derivatiable Functions

[transgalactic]

differentiable and derivetivable

we can represent a derivative as a differential like
f'(x)=df/dx

whats the difference between those words regarding graph of a given function..

 

[HallsofIvy]

There is no such word as "derivetivable". If a function of one variable has a derivative, then it is differentiable. On a graph, the derivative at a point is the slope of the tangent line. There is nothing on a graph that is immediately equivalent to a "differential".

 

[transgalactic]

thanks