Let's say we have a function f(x) = x^a + x^b + x^c (a, b, c, x ∈ R)
How can we check the differentiability of f(x) first using the Newton-Raphson's method?
Using the formula to get iterations of approximate roots requires f'(x) but how can I first check the differentiability before I try to use the method? I know how to check its differentiability using other methods but I specifically want to know how one can use the Newton-Raphson method