Hi all, I tried to plot a function \frac{1}{(x-1)^{2/3}} but it can only plot the function from x=1 to the right. There should also be the plot from from x=0 to x=1 toward infinity. This is the suppose to be function plot: [1] This is my code to plot with JULIA: using Plots, LaTeXStrings, Plo…

The problem is that exponentiation with a float exponent is only defined for a strictly positive non-negative base: julia> f(0.5) # involving (-0.5)^(2/3) ERROR: DomainError with -0.5: Exponentiation yielding a complex result requires a complex argument. Replace x^y with (x+0im)^y, Complex(x)^y, …

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I accidentally hit tabs and it is posted before I finish writing. Sorry.

Wow thanks a lot, I just learn it now solving this needs only to rewrite f.

[image] eldee: If you just rewrite f as f(x) = (1/(x-1)^2)^(1/3) Or alternatively use the cbrt function, which allows negative arguments and is also probaby more efficient than generic exponentiation y^(1/3), e.g. f(x) = 1/cbrt(x)^2

For the record, Plots.jl seems to do the right thing. For values x<1, the original function is not properly defined, the fractional power has complex solutions, and the function is multivalued.

Plot of a function from x=0 to x=1 is not shown

General Usage

_bernhard April 15, 2025, 11:32am 2

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Plot of a function from x=0 to x=1 is not shown

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