Excellent question: what's the differential equation for y=abs(x)

The derivative of y=abs(x) could be written as dy/dx=x/abs(x) or dy/dx=abs(x)/x. So, what will the its differential equation: dy/dx=x/y or dy/dx=y/x? I love this question! How to take the derivative of y=abs(x)    • 29/1000, derivative of abs(x), calculus 1   ---------------------- I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ---------------------- Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉   / 1703815   Calculus 2 👉   / 1716951   ---------------------- #calculus #bprpcaluclus #mathtutorials #math