Do you call Δx dx or dy dx?

We can't let Δx become 0 (because that would be dividing by 0), but we can make it head towards zero and call it "dx": Δx dx. You can also think of "dx" as being infinitesimal, or infinitely small. Likewise Δy becomes very small and we call it "dy", to give us:

How to calculate the derivatives of Dy and DX?

Likewise Δy becomes very small and we call it "dy", to give us: dy dx = f (x + dx) − f (x) dx Try It On A Function Let's try f (x) = x 2

Which is infinitesimal dx or dy dx?

You can also think of "dx" as being infinitesimal, or infinitely small. Likewise Δy becomes very small and we call it "dy", to give us: dy dx = f(x + dx) − f(x) dx

How to calculate rate of change using dy / dx notation?

Here we look at doing the same thing but using the "dy/dx" notation (also called Leibniz's notation) instead of limits. 1. Add Δx When x increases by Δx, then y increases by Δy : 2. Subtract the Two Formulas 3. Rate of Change To work out how fast (called the rate of change) we divide by Δx: 4. Reduce Δx close to 0