How to find the limit of functions in calculus. Step by step examples, videos and short definitions in plain English. Calculus made clear!
Graph created with Desmos.com. Nonlinear Function vs. Linear Function: Steps In order to figure out if your function is linear or nonlinear, you have several options. From easiest to hardest, they are: Study the equation. If it neatly fits the equation y = mx + b, then it’s linear....
I decided to write a Medium essay about those reasons, grounded in Michael’s essay but updated with an AI-framing — see link here. I decided to try Medium for this because it’s a pretty long essay and many subscribers here get these posts via email. I also want to explore other pl...
Write out the symbol in words, for example: ∑ is "sum"; ∫ is the "integration" symbol and Φ is "capital phi", the Greek letter. Just like when learning whole formulas, include a small diagram or graph to remind you of where each symbol came from. Another way of keeping your ...
This function $$\frac{e^x - e^{-x}}{2}$$ is called the hyperbolic sine. I'll refer to it as "hypersine" for short. You could say it "splits the...
Step 6:Check your work. You could use a graphing calculator: I used the one atDesmos.comto create the graphs here. If you can’t use a graphing calculator, throw in a random x-value as an input, like x = 9.2 or x = 7.5. If you have drawn your graph correctly, your new point...
Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way,...