How do I find the derivative of y = modulus(sin x)? ie. y = absolute(sin(x)). After that I would like to plot both y and the derivative of it. Also, how can I find where y is not differentiable? Can I do it both graphically and algebraically? For the graphic method, can I do it by observation? Does continuity come into play here? I am not sure if contininuity basically means that there is no break in the graph and whether I do a visual inspection to determine continuity and henceforth whether y is differentiable or not.(I am sorry if I am not expressing myself well here)
I know that modulus of sin(x) looks like sin(x) but with all the negative bits of it inverted. I am not really sure about the graph of the derivative though.
How do I do the same things as above for sin of modulus of x? ie. y = sin(absolute(x))