# Differentiable vs. Non-differentiable Functions - Page 2

Questions

- How to determine which of the following functions are one-to-one ?
- How do you determine the differentiability of f(x), where #f(x)=|x-1|+|x-2|+|x-3|#?
- How do you solve the differential equation #dy/dt = 2y - 10#?
- At where f(x)=|(x^2)-9| is differentiable?
- Where is the function #h(x)=abs(x-1)+abs(x+2)# differentiable?
- Can a function be continuous and non-differentiable on a given domain?
- How do you prove from the definition of differentiability that the function #f(x)=(2x+1)/(x-2)# is differentiable?
- How do you find the differentiable points for a graph?
- Given #f(x) = x^3-3x#, how can you construct an infinitely differentiable one-one function #g(x):RR->RR# with #g(x) = f(x)# in #(-oo, -2] uu [2, oo)#?
- What is the derivative of a unit vector?
- What are non differentiable points for a function?
- Can a function be continuous and non-differentiable on a given domain??
- How do you find the non differentiable points for a graph?
- What are differentiable points for a function?
- How do you find the non differentiable points for a function?
- Given #(dr)/(dt)=(sect,tant,t^2)# calculate #r(t)# such that #r(0) = (0,0,3)# ?
- What are non differentiable points for a graph?
- For what values of x is the function #f(x)=abs(x^2-9)# differentiable?
- What can be said about differentiation of a constant with respect to a constant & differentiation of a variable with respect to a constant?
- Question about inverse function ?